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Simplifying 0 = 4x2y3 + -8x4y3 + -12x2y4 Reorder the terms: 0 = 4x2y3 + -12x2y4 + -8x4y3 Solving 0 = 4x2y3 + -12x2y4 + -8x4y3 Solving for variable 'x'. Remove the zero: -4x2y3 + 12x2y4 + 8x4y3 = 4x2y3 + -12x2y4 + -8x4y3 + -4x2y3 + 12x2y4 + 8x4y3 Reorder the terms: -4x2y3 + 12x2y4 + 8x4y3 = 4x2y3 + -4x2y3 + -12x2y4 + 12x2y4 + -8x4y3 + 8x4y3 Combine like terms: 4x2y3 + -4x2y3 = 0 -4x2y3 + 12x2y4 + 8x4y3 = 0 + -12x2y4 + 12x2y4 + -8x4y3 + 8x4y3 -4x2y3 + 12x2y4 + 8x4y3 = -12x2y4 + 12x2y4 + -8x4y3 + 8x4y3 Combine like terms: -12x2y4 + 12x2y4 = 0 -4x2y3 + 12x2y4 + 8x4y3 = 0 + -8x4y3 + 8x4y3 -4x2y3 + 12x2y4 + 8x4y3 = -8x4y3 + 8x4y3 Combine like terms: -8x4y3 + 8x4y3 = 0 -4x2y3 + 12x2y4 + 8x4y3 = 0 Factor out the Greatest Common Factor (GCF), '4x2y3'. 4x2y3(-1 + 3y + 2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 3y + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 3y + 2x2 = 0 Reorder the terms: -1 + 2x2 + 3y = 0 Solving -1 + 2x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x2 + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + 2x2 + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x2 + 3y = 0 + 1 2x2 + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 2x2 + 3y = 1 Add '-3y' to each side of the equation. 2x2 + 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 2x2 + 0 = 1 + -3y 2x2 = 1 + -3y Divide each side by '2'. x2 = 0.5 + -1.5y Simplifying x2 = 0.5 + -1.5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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