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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) = 0Subproblem 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 = 0Subproblem 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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