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Simplifying x3 + -60xy2 + 7x2y = 0 Reorder the terms: -60xy2 + 7x2y + x3 = 0 Solving -60xy2 + 7x2y + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-60y2 + 7xy + x2) = 0 Factor a trinomial. x((-12y + -1x)(5y + -1x)) = 0Subproblem 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 '(-12y + -1x)' equal to zero and attempt to solve: Simplifying -12y + -1x = 0 Reorder the terms: -1x + -12y = 0 Solving -1x + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -1x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -1x + 0 = 0 + 12y -1x = 0 + 12y Remove the zero: -1x = 12y Divide each side by '-1'. x = -12y Simplifying x = -12ySubproblem 3
Set the factor '(5y + -1x)' equal to zero and attempt to solve: Simplifying 5y + -1x = 0 Reorder the terms: -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 0 + -5y -1x = 0 + -5y Remove the zero: -1x = -5y Divide each side by '-1'. x = 5y Simplifying x = 5ySolution
x = {0, -12y, 5y}
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