(X^2+4x)(-2x)=0

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Solution for (X^2+4x)(-2x)=0 equation: 


Simplifying
(X2 + 4x)(-2x) = 0

Remove parenthesis around (-2x)
(X2 + 4x) * -2x = 0

Reorder the terms for easier multiplication:
-2x(X2 + 4x) = 0
(X2 * -2x + 4x * -2x) = 0
(-2xX2 + -8x2) = 0

Solving
-2xX2 + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(X2 + 4x) = 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 '(X2 + 4x)' equal to zero and attempt to solve:

Simplifying
X2 + 4x = 0

Solving
X2 + 4x = 0

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

Add '-1X2' to each side of the equation.
X2 + -1X2 + 4x = 0 + -1X2

Combine like terms: X2 + -1X2 = 0
0 + 4x = 0 + -1X2
4x = 0 + -1X2
Remove the zero:
4x = -1X2

Divide each side by '4'.
x = -0.25X2

Simplifying
x = -0.25X2
Solution
x = {0, -0.25X2}

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