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Simplifying 2xy2 = 8xy + -24x Reorder the terms: 2xy2 = -24x + 8xy Solving 2xy2 = -24x + 8xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 24x + 2xy2 = -24x + 24x + 8xy Combine like terms: -24x + 24x = 0 24x + 2xy2 = 0 + 8xy 24x + 2xy2 = 8xy Add '-8xy' to each side of the equation. 24x + -8xy + 2xy2 = 8xy + -8xy Combine like terms: 8xy + -8xy = 0 24x + -8xy + 2xy2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + -4y + y2) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(12 + -4y + y2)' equal to zero and attempt to solve: Simplifying 12 + -4y + y2 = 0 Solving 12 + -4y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + -4y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4y + y2 = 0 + -12 -4y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4y + y2 = -12 Add '4y' to each side of the equation. -4y + 4y + y2 = -12 + 4y Combine like terms: -4y + 4y = 0 0 + y2 = -12 + 4y y2 = -12 + 4y Add '-1y2' to each side of the equation. y2 + -1y2 = -12 + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -12 + 4y + -1y2 Simplifying 0 = -12 + 4y + -1y2 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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