10x(x+8)=2x

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Solution for 10x(x+8)=2x equation: 


Simplifying
10x(x + 8) = 2x

Reorder the terms:
10x(8 + x) = 2x
(8 * 10x + x * 10x) = 2x
(80x + 10x2) = 2x

Solving
80x + 10x2 = 2x

Solving for variable 'x'.

Reorder the terms:
80x + -2x + 10x2 = 2x + -2x

Combine like terms: 80x + -2x = 78x
78x + 10x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
78x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(39 + 5x) = 0

Ignore the factor 2.

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 '(39 + 5x)' equal to zero and attempt to solve:

Simplifying
39 + 5x = 0

Solving
39 + 5x = 0

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

Add '-39' to each side of the equation.
39 + -39 + 5x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 5x = 0 + -39
5x = 0 + -39

Combine like terms: 0 + -39 = -39
5x = -39

Divide each side by '5'.
x = -7.8

Simplifying
x = -7.8
Solution
x = {0, -7.8}

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