4x^2(x-y^2)-3x(1+xy^2)=

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Solution for 4x^2(x-y^2)-3x(1+xy^2)= equation:


Simplifying
4x2(x + -1y2) + -3x(1 + xy2) = 0
(x * 4x2 + -1y2 * 4x2) + -3x(1 + xy2) = 0

Reorder the terms:
(-4x2y2 + 4x3) + -3x(1 + xy2) = 0
(-4x2y2 + 4x3) + -3x(1 + xy2) = 0
-4x2y2 + 4x3 + (1 * -3x + xy2 * -3x) = 0
-4x2y2 + 4x3 + (-3x + -3x2y2) = 0

Reorder the terms:
-3x + -4x2y2 + -3x2y2 + 4x3 = 0

Combine like terms: -4x2y2 + -3x2y2 = -7x2y2
-3x + -7x2y2 + 4x3 = 0

Solving
-3x + -7x2y2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + -7xy2 + 4x2) = 0

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 '(-3 + -7xy2 + 4x2)' equal to zero and attempt to solve: Simplifying -3 + -7xy2 + 4x2 = 0 Solving -3 + -7xy2 + 4x2 = 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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