2x(5x+40)=5x

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Solution for 2x(5x+40)=5x equation: 


Simplifying
2x(5x + 40) = 5x

Reorder the terms:
2x(40 + 5x) = 5x
(40 * 2x + 5x * 2x) = 5x
(80x + 10x2) = 5x

Solving
80x + 10x2 = 5x

Solving for variable 'x'.

Reorder the terms:
80x + -5x + 10x2 = 5x + -5x

Combine like terms: 80x + -5x = 75x
75x + 10x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
75x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(15 + 2x) = 0

Ignore the factor 5.

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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