(x+8)(x-7)=x+8

Simple and best practice solution for (x+8)(x-7)=x+8 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+8)(x-7)=x+8 equation: 


Simplifying
(x + 8)(x + -7) = x + 8

Reorder the terms:
(8 + x)(x + -7) = x + 8

Reorder the terms:
(8 + x)(-7 + x) = x + 8

Multiply (8 + x) * (-7 + x)
(8(-7 + x) + x(-7 + x)) = x + 8
((-7 * 8 + x * 8) + x(-7 + x)) = x + 8
((-56 + 8x) + x(-7 + x)) = x + 8
(-56 + 8x + (-7 * x + x * x)) = x + 8
(-56 + 8x + (-7x + x2)) = x + 8

Combine like terms: 8x + -7x = 1x
(-56 + 1x + x2) = x + 8

Reorder the terms:
-56 + 1x + x2 = 8 + x

Solving
-56 + 1x + x2 = 8 + x

Solving for variable 'x'.

Reorder the terms:
-56 + -8 + 1x + -1x + x2 = 8 + x + -8 + -1x

Combine like terms: -56 + -8 = -64
-64 + 1x + -1x + x2 = 8 + x + -8 + -1x

Combine like terms: 1x + -1x = 0
-64 + 0 + x2 = 8 + x + -8 + -1x
-64 + x2 = 8 + x + -8 + -1x

Reorder the terms:
-64 + x2 = 8 + -8 + x + -1x

Combine like terms: 8 + -8 = 0
-64 + x2 = 0 + x + -1x
-64 + x2 = x + -1x

Combine like terms: x + -1x = 0
-64 + x2 = 0

Factor a difference between two squares.
(8 + x)(-8 + x) = 0


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

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8

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

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

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

See similar equations:

| 8p-26=-19+7p | | 8p-23=-31+7p | | 5x^12(3x-1)=0 | | 9x^5/3x^8 | | 22-5x^12=22+15x^13 | | 5x-10y+8x-5y-3x+7x= | | 5(x-5)=70/14 | | 0.8(4x+9)=4.3-(x-3) | | 2(5y-2)=6y | | (-6x^2)+24x+18=0 | | -5+15=13x-3-12x | | 4y+228=356 | | -16n+16=-14n-12 | | y-1=(x+3)*(x+3) | | 4p+9+(-7p+2)= | | -17-22y= | | -7m=-49 | | x(-9)=27 | | (-4x^2)-40x-40=0 | | 3x+7-2x=15 | | u^2-10u+24/48-3u^2 | | x^2-2x-39=0 | | (5z^11)(-3z^6)(z^4)=y | | 1/2+4x-7=53 | | (5z^11)(-3z^6)(z^4)= | | 7x=4+30 | | (8x^2+y^2-6)-(6x^2+y^2-2)= | | (8x^2+y^2-6)-(6x^2+y^2-2)=b | | 6z=13-19 | | (8x^2+y^2-6)-(6x^2+y^2-2)=x | | (x^2)+8x=-12 | | -2(7x-3)+8=-14x+14 |

Equations solver categories