x^2-18x-32=-x^2-8x+16

Simple and best practice solution for x^2-18x-32=-x^2-8x+16 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2-18x-32=-x^2-8x+16 equation: 


Simplifying
x2 + -18x + -32 = -1x2 + -8x + 16

Reorder the terms:
-32 + -18x + x2 = -1x2 + -8x + 16

Reorder the terms:
-32 + -18x + x2 = 16 + -8x + -1x2

Solving
-32 + -18x + x2 = 16 + -8x + -1x2

Solving for variable 'x'.

Reorder the terms:
-32 + -16 + -18x + 8x + x2 + x2 = 16 + -8x + -1x2 + -16 + 8x + x2

Combine like terms: -32 + -16 = -48
-48 + -18x + 8x + x2 + x2 = 16 + -8x + -1x2 + -16 + 8x + x2

Combine like terms: -18x + 8x = -10x
-48 + -10x + x2 + x2 = 16 + -8x + -1x2 + -16 + 8x + x2

Combine like terms: x2 + x2 = 2x2
-48 + -10x + 2x2 = 16 + -8x + -1x2 + -16 + 8x + x2

Reorder the terms:
-48 + -10x + 2x2 = 16 + -16 + -8x + 8x + -1x2 + x2

Combine like terms: 16 + -16 = 0
-48 + -10x + 2x2 = 0 + -8x + 8x + -1x2 + x2
-48 + -10x + 2x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
-48 + -10x + 2x2 = 0 + -1x2 + x2
-48 + -10x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-48 + -10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -5x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 8}

See similar equations:

| g(-2)=-2+3 | | 49a+20-46a=32 | | -11+4x=3 | | 3-5y+3=3y+12-5y | | 6(3-2y)=5(2y-3) | | 2x=3x-4+5 | | 6(n-7)-4(4-5n)=10n | | -2b-7-b=-8+4b | | 11/2x=21/4*33/5 | | 2(2x-3)-4(x-6)=5x-13 | | 7(x-2)+17=10 | | 4x-3=5y+2 | | 3(5j-2)=2(3j-6) | | y=7*x-2/2*x+1 | | 11/2x=9/10 | | 4-6x=3x+13 | | 5x/7=27 | | 0.7m=4.2 | | 0.7=4.2 | | (p/2)=((p+3)/8) | | .8x+8.8=4.4 | | x+x+25=215 | | 3x-5r+8x=0 | | (p/3)=((p+3)/8) | | 40=x+6-2 | | 36x+21=48x-21 | | x(3+y)=7 | | 4d-2d+2d+7-3d=0 | | 8x^2/9x3/2w^4 | | (x+2)(x+2)=4 | | 1/2(10x-12)+2(2-3x) | | x/3-1=x/5+2 |

Equations solver categories