x(x+8)-x(5x+3x)=

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Solution for x(x+8)-x(5x+3x)= equation: 


Simplifying
x(x + 8) + -1x(5x + 3x) = 0

Reorder the terms:
x(8 + x) + -1x(5x + 3x) = 0
(8 * x + x * x) + -1x(5x + 3x) = 0
(8x + x2) + -1x(5x + 3x) = 0

Combine like terms: 5x + 3x = 8x
8x + x2 + -1x(8x) = 0

Remove parenthesis around (8x)
8x + x2 + -1x * 8x = 0

Reorder the terms for easier multiplication:
8x + x2 + -1 * 8x * x = 0

Multiply -1 * 8
8x + x2 + -8x * x = 0

Multiply x * x
8x + x2 + -8x2 = 0

Combine like terms: x2 + -8x2 = -7x2
8x + -7x2 = 0

Solving
8x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 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 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {0, 1.142857143}

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