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

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


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

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

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

Multiply x * x
x2(2 + x) = (4x) * x(2x)
(2 * x2 + x * x2) = (4x) * x(2x)
(2x2 + x3) = (4x) * x(2x)

Remove parenthesis around (4x)
2x2 + x3 = 4x * x(2x)

Remove parenthesis around (2x)
2x2 + x3 = 4x * x * 2x

Reorder the terms for easier multiplication:
2x2 + x3 = 4 * 2x * x * x

Multiply 4 * 2
2x2 + x3 = 8x * x * x

Multiply x * x
2x2 + x3 = 8x2 * x

Multiply x2 * x
2x2 + x3 = 8x3

Solving
2x2 + x3 = 8x3

Solving for variable 'x'.

Combine like terms: x3 + -8x3 = -7x3
2x2 + -7x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
2x2 + -7x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + -7x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {0, 0.2857142857}

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