-4x^3(5x+2y)=4x^2

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Solution for -4x^3(5x+2y)=4x^2 equation: 


Simplifying
-4x3(5x + 2y) = 4x2
(5x * -4x3 + 2y * -4x3) = 4x2

Reorder the terms:
(-8x3y + -20x4) = 4x2
(-8x3y + -20x4) = 4x2

Solving
-8x3y + -20x4 = 4x2

Solving for variable 'x'.

Reorder the terms:
-4x2 + -8x3y + -20x4 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x2 + -8x3y + -20x4 = 0

Factor out the Greatest Common Factor (GCF), '-4x2'.
-4x2(1 + 2xy + 5x2) = 0

Ignore the factor -4.

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 '(1 + 2xy + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 2xy + 5x2 = 0

Solving
1 + 2xy + 5x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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