-2x^2(x^2-2y^3)=

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


Simplifying
-2x2(x2 + -2y3) = 0
(x2 * -2x2 + -2y3 * -2x2) = 0

Reorder the terms:
(4x2y3 + -2x4) = 0
(4x2y3 + -2x4) = 0

Solving
4x2y3 + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(2y3 + -1x2) = 0

Ignore the factor 2.

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 '(2y3 + -1x2)' equal to zero and attempt to solve: Simplifying 2y3 + -1x2 = 0 Reorder the terms: -1x2 + 2y3 = 0 Solving -1x2 + 2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y3' to each side of the equation. -1x2 + 2y3 + -2y3 = 0 + -2y3 Combine like terms: 2y3 + -2y3 = 0 -1x2 + 0 = 0 + -2y3 -1x2 = 0 + -2y3 Remove the zero: -1x2 = -2y3 Divide each side by '-1'. x2 = 2y3 Simplifying x2 = 2y3 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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