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m^2+4m=12 m^2+4m-12=0 (m^2-2m) + (6m-12) m(m-2)+6(m-2) (m+6)(m-2)=0 -6 or 2
2x^2-18x=0 2x(x-9)
y^2=25y y^2-25y=0 y(y-25)=0
(m+2)(m-3)=-4 m(m-3) m^2-3m 2(m-3) 2m-6 m^2-3m+2m-6 m^2-m-6=-4 m^2-m-2=0 m^2+m-2m-2=0 m(m+1)-2(m+1)=0 (m-2)(m+1)=0 {-1,2}
4u^2-20=0 4u^2=20 u^2=5 u=+-sqrt(5)
4(z+16)^2-50=110 4(z+16)^2=160 (z+16)^2=40 z+16=sqrt(40) z=2sqrt(10)-16
u^2-5u+(25/4) (u-5/2)
x^2+22x-3=0 x^2+22x=3 x^2+22x+121=124 (x+11)^2=124 x+11=sqrt(124) x=sqrt(124)-11 or -11 - sqrt(124)
3t(t-3)=6-2t 3t^2 - 9t = 6-2t 3t^2 -7t=6 3t^2-7t-6=0 3t^2-9t+2t-6=0 3t(t-3)+2(t-3) (t-3)(3t+2) = 0 3 -2/3
-2t^2-14t+5 =0 -2t^2-14t = -5 t^2+7t=5/2
1/5+7/5b=4/b 1/5b+7/5=4 1/5b + 7/5 = 20/5 1/5b = 13/5 b=13
x/(x-1) = 1/(x-1) - 1/3 LCD x-1 x = 1-(1/3)x x/x=1-(1/3) x/x=2/3 x=2/3*x not for real
5x/(x+2) - 4/(x+3)=(4x^2+13x)/(x^2+5x+6) x^2+5x+6 2 * 3 = 6 2 + 3 = 5 (x+2)(x+3) 5x/(x+2)-4/(x+3)=(4x^2+13x)/(x+2)(x+3) 5x(x+3)-4(x+2)=4x^2+13x 5x^2+15x-4x-8=4x^2+13x 5x^2+11x-8=4x^2+13x 5x^2-2x-8=4x^2 5x^2=4x^2+2x+8 x^2=2x+8 x^2-2x-8=0 -4 2 (x-4)(x+2)
sqrt(3w+22)-4=w sqrt(3w+22)=w+4 3w+22=(w+4)^2 22=(w+4)^2-3w (w+4)^2-3w-22=0
[ (a + b)^2 = a^2 + 2ab + b^2 ] (w+4)^2=w^2+2(w)(4)+4^2 (w+4)^2=w^2+8w+16
w^2+8w+16-3w-22=0 w^2+5w-6=0 -6, 1
-25root(5x-4)-3=1 -25root(5x-4)=4 5root(5x-4)=-2 5x-4=-2^5 5x-4=32 5x=28 5.6=x
sqrt(6+c)-sqrt(-c+4)=-2 sqrt(6+c)=-2+sqrt(-c+4) 6+c=(-2+sqrt(-c+4)^2 [ (a + b)^2 = a^2 + 2ab + b^2 ] (sqrt(-c+4)-2)^2 = sqrt(-c+4)^2 + (2)(-2)(sqrt(-c+4) + -2^2 -c+4-4(sqrt(-c+4)+4 6+c = -c-4(sqrt(-c+4))+8 6+c+4sqrt(-c+4)= -c+8 4sqrt(-c+4)=-2c+2
2sqrt(-c+4)=-c+1 (2sqrt(-c+4)^2=(-c+1)^2 4(-c+4)=-c^2 + -2c + 1 -4c+16=-c^2-2c+1 -c^2+2c-15=0 (x-5)(x+3)
sqrt(-400)=40i
sqrt(-4)sqrt(-64) -2i-8i=16
sqrt(-5)sqrt(-10) isqrt(5)isqrt(10) sqrt(5)sqrt(10)(i^2) sqrt(5)sqrt(10)(-1) sqrt(5*10)(-1) sqrt(50)(-1) sqrt(25)sqrt(2)(-1) 5sqrt(2)(-1) -5sqrt(2)
sqrt(-28)/sqrt(-7) isqrt(28)/isqrt(7) sqrt(28)/sqrt(7) 2sqrt(7)/sqrt(7) 2 sqrt(-64)/sqrt(4) isqrt(64)/sqrt(4) 8i/2 4i
(14+17i)/20 14/20 + 17i/20 7/10 + 17i/20
(-8-9i)+(2+8i) -8-9i+2+8i -8+2)+(-9+8)i -8+2)-1i -6-i
(168+82i)-(200+43i) 168+82i-200-43i 168-200)+(82-43)i -32+39i
2i(2-3i) 4i-6
(6-2i)(-9-3i) 54+18i+18i+6i^2 54+12i+18i+6(-1) 54+12i+18i-6 54+30i-6 48+30i
(3+10i)^2 9+(2)(3)(10i)+(10i)^2 9+60i+100(-1) 9+60i-100 -91+60i
(9-8i)(9+8i) 81+72i-72i-64i^2 81+64 145
u^2+8u-9=0 u^2+9u-u-9=0 u(u+9)-u-9=0 u(u+9-(u-9)=0 (u+9)(u-1)=0 -9 1 5x-5=-9 5x=-4 x=-4/5
5x-5=1 5x=6 x=6/5
(w^2+2)^2+(w^2+2)-42=0 u^2+u-42=0 -6, 7
w^2+2=-6 w^2=-8 w=2sqrt(2)i
w^2+2=7 w^2=5
2x^2/3 + 5x^1/3 -12 =0 (2x^1/3)^2+5x^1/3-12=0 u = x^1/3 2u^2+5u-12=0 -3 8
x^1/3=-3 x=-3^3 x=-27 x^1/3=8 x=8^3 x=512 (-5+sqrt(313))/4, (-5-sqrt(313))/4
9x^-4-10x^2+1=0 (x-9)(x-1)
div by leading coef