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Simplifying 2x3 + -14x2y + -36y2x = 0 Reorder the terms: -36xy2 + -14x2y + 2x3 = 0 Solving -36xy2 + -14x2y + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-18y2 + -7xy + x2) = 0 Factor a trinomial. 2x((-2y + -1x)(9y + -1x)) = 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 '(-2y + -1x)' equal to zero and attempt to solve: Simplifying -2y + -1x = 0 Reorder the terms: -1x + -2y = 0 Solving -1x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -1x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 0 + 2y -1x = 0 + 2y Remove the zero: -1x = 2y Divide each side by '-1'. x = -2y Simplifying x = -2ySubproblem 3
Set the factor '(9y + -1x)' equal to zero and attempt to solve: Simplifying 9y + -1x = 0 Reorder the terms: -1x + 9y = 0 Solving -1x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -1x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 -1x + 0 = 0 + -9y -1x = 0 + -9y Remove the zero: -1x = -9y Divide each side by '-1'. x = 9y Simplifying x = 9ySolution
x = {0, -2y, 9y}
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