(x+8)(x-2)=x-16

Simple and best practice solution for (x+8)(x-2)=x-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+8)(x-2)=x-16 equation: 


Simplifying
(x + 8)(x + -2) = x + -16

Reorder the terms:
(8 + x)(x + -2) = x + -16

Reorder the terms:
(8 + x)(-2 + x) = x + -16

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = x + -16
((-2 * 8 + x * 8) + x(-2 + x)) = x + -16
((-16 + 8x) + x(-2 + x)) = x + -16
(-16 + 8x + (-2 * x + x * x)) = x + -16
(-16 + 8x + (-2x + x2)) = x + -16

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = x + -16

Reorder the terms:
-16 + 6x + x2 = -16 + x

Add '16' to each side of the equation.
-16 + 6x + 16 + x2 = -16 + 16 + x

Reorder the terms:
-16 + 16 + 6x + x2 = -16 + 16 + x

Combine like terms: -16 + 16 = 0
0 + 6x + x2 = -16 + 16 + x
6x + x2 = -16 + 16 + x

Combine like terms: -16 + 16 = 0
6x + x2 = 0 + x
6x + x2 = x

Solving
6x + x2 = x

Solving for variable 'x'.

Reorder the terms:
6x + -1x + x2 = x + -1x

Combine like terms: 6x + -1x = 5x
5x + x2 = x + -1x

Combine like terms: x + -1x = 0
5x + x2 = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0, -5}

See similar equations:

| 85=175t-16t^2 | | 20x-10=30x-10 | | y=-8x+2 | | 8x=88+8x | | (n+2)*10=70 | | -5x^2+15x+18=0 | | x-36=21 | | .4+.25(119-x)=29 | | 3p^2+2p+4=5 | | 10+6x=-14 | | 7x^2+19x-6=0 | | x/14=13 | | 5x+27=13x-69 | | 5f+4=49 | | 3(4x-5)-7(9x-2)=-51x-29 | | -5=-15-3x | | 3(4x-5)-7(9x-2)=-51x-7 | | -5+x=-13 | | 3(4x-5)-7(9x-2)=-51x-3 | | 3(4x-5)-7(9x-2)=-51x-1 | | -21=x-9 | | 93-3x=24x+24 | | 2x+24=-4x | | 6-9x=24-23x | | 3-2ln(x)+2ln(x)=0 | | 1.618=807 | | 3(w-1)=9 | | 807= | | x/14*13=182 | | 662= | | 4(1+3x)=100 | | -8b+6+6b=-3b+11+b |

Equations solver categories