4x(x+8)-5x(x+8)=

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Solution for 4x(x+8)-5x(x+8)= equation: 


Simplifying
4x(x + 8) + -5x(x + 8) = 0

Reorder the terms:
4x(8 + x) + -5x(x + 8) = 0
(8 * 4x + x * 4x) + -5x(x + 8) = 0
(32x + 4x2) + -5x(x + 8) = 0

Reorder the terms:
32x + 4x2 + -5x(8 + x) = 0
32x + 4x2 + (8 * -5x + x * -5x) = 0
32x + 4x2 + (-40x + -5x2) = 0

Reorder the terms:
32x + -40x + 4x2 + -5x2 = 0

Combine like terms: 32x + -40x = -8x
-8x + 4x2 + -5x2 = 0

Combine like terms: 4x2 + -5x2 = -1x2
-8x + -1x2 = 0

Solving
-8x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(8 + x) = 0

Ignore the factor -1.

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 '(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 = {0, -8}

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