=4x(5x-2)

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Solution for =4x(5x-2) equation: 


Simplifying
0 = 4x(5x + -2)

Reorder the terms:
0 = 4x(-2 + 5x)
0 = (-2 * 4x + 5x * 4x)
0 = (-8x + 20x2)

Solving
0 = -8x + 20x2

Solving for variable 'x'.
Remove the zero:
8x + -20x2 = -8x + 20x2 + 8x + -20x2

Reorder the terms:
8x + -20x2 = -8x + 8x + 20x2 + -20x2

Combine like terms: -8x + 8x = 0
8x + -20x2 = 0 + 20x2 + -20x2
8x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
8x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -5x) = 0

Ignore the factor 4.

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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0, 0.4}

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