(4x+2)(2x)=4x(4x)

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


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

Reorder the terms:
(2 + 4x)(2x) = 4x(4x)

Remove parenthesis around (2x)
(2 + 4x) * 2x = 4x(4x)

Reorder the terms for easier multiplication:
2x(2 + 4x) = 4x(4x)
(2 * 2x + 4x * 2x) = 4x(4x)
(4x + 8x2) = 4x(4x)

Remove parenthesis around (4x)
4x + 8x2 = 4x * 4x

Reorder the terms for easier multiplication:
4x + 8x2 = 4 * 4x * x

Multiply 4 * 4
4x + 8x2 = 16x * x

Multiply x * x
4x + 8x2 = 16x2

Solving
4x + 8x2 = 16x2

Solving for variable 'x'.

Combine like terms: 8x2 + -16x2 = -8x2
4x + -8x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
4x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -2x) = 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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}

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