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Simplifying 12x4y + 6x3 + -12x3y = 0 Reorder the terms: 6x3 + -12x3y + 12x4y = 0 Solving 6x3 + -12x3y + 12x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x3'. 6x3(1 + -2y + 2xy) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 + -2y + 2xy)' equal to zero and attempt to solve: Simplifying 1 + -2y + 2xy = 0 Reorder the terms: 1 + 2xy + -2y = 0 Solving 1 + 2xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2xy + -1 + -2y = 0 + -1 Reorder the terms: 1 + -1 + 2xy + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2xy + -2y = 0 + -1 2xy + -2y = 0 + -1 Combine like terms: 0 + -1 = -1 2xy + -2y = -1 Add '2y' to each side of the equation. 2xy + -2y + 2y = -1 + 2y Combine like terms: -2y + 2y = 0 2xy + 0 = -1 + 2y 2xy = -1 + 2y Divide each side by '2y'. x = -0.5y-1 + 1 Simplifying x = -0.5y-1 + 1 Reorder the terms: x = 1 + -0.5y-1Solution
x = {1 + -0.5y-1}
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