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Simplifying 45x2y4 + -60x3y2 + -15x2y = 0 Reorder the terms: -15x2y + 45x2y4 + -60x3y2 = 0 Solving -15x2y + 45x2y4 + -60x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x2y'. 15x2y(-1 + 3y3 + -4xy) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + 3y3 + -4xy)' equal to zero and attempt to solve: Simplifying -1 + 3y3 + -4xy = 0 Reorder the terms: -1 + -4xy + 3y3 = 0 Solving -1 + -4xy + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4xy + 1 + 3y3 = 0 + 1 Reorder the terms: -1 + 1 + -4xy + 3y3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4xy + 3y3 = 0 + 1 -4xy + 3y3 = 0 + 1 Combine like terms: 0 + 1 = 1 -4xy + 3y3 = 1 Add '-3y3' to each side of the equation. -4xy + 3y3 + -3y3 = 1 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -4xy + 0 = 1 + -3y3 -4xy = 1 + -3y3 Divide each side by '-4y'. x = -0.25y-1 + 0.75y2 Simplifying x = -0.25y-1 + 0.75y2Solution
x = {-0.25y-1 + 0.75y2}
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