4x(5x+7)=2x

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Solution for 4x(5x+7)=2x equation: 


Simplifying
4x(5x + 7) = 2x

Reorder the terms:
4x(7 + 5x) = 2x
(7 * 4x + 5x * 4x) = 2x
(28x + 20x2) = 2x

Solving
28x + 20x2 = 2x

Solving for variable 'x'.

Reorder the terms:
28x + -2x + 20x2 = 2x + -2x

Combine like terms: 28x + -2x = 26x
26x + 20x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
26x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(13 + 10x) = 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 '(13 + 10x)' equal to zero and attempt to solve:

Simplifying
13 + 10x = 0

Solving
13 + 10x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 10x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 10x = 0 + -13
10x = 0 + -13

Combine like terms: 0 + -13 = -13
10x = -13

Divide each side by '10'.
x = -1.3

Simplifying
x = -1.3
Solution
x = {0, -1.3}

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