2x(x+8)=x

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Solution for 2x(x+8)=x equation:


Simplifying
2x(x + 8) = x

Reorder the terms:
2x(8 + x) = x
(8 * 2x + x * 2x) = x
(16x + 2x2) = x

Solving
16x + 2x2 = x

Solving for variable 'x'.

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

Combine like terms: 16x + -1x = 15x
15x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
15x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 2x) = 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 '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0, -7.5}

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