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Simplifying 6x3y2 + -12x2y3 + -24x2y2 = 0 Reorder the terms: -24x2y2 + -12x2y3 + 6x3y2 = 0 Solving -24x2y2 + -12x2y3 + 6x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2y2'. 6x2y2(-4 + -2y + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-4 + -2y + x)' equal to zero and attempt to solve: Simplifying -4 + -2y + x = 0 Reorder the terms: -4 + x + -2y = 0 Solving -4 + x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + 4 + -2y = 0 + 4 Reorder the terms: -4 + 4 + x + -2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + -2y = 0 + 4 x + -2y = 0 + 4 Combine like terms: 0 + 4 = 4 x + -2y = 4 Add '2y' to each side of the equation. x + -2y + 2y = 4 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 4 + 2y x = 4 + 2y Simplifying x = 4 + 2ySolution
x = {4 + 2y}
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