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Simplifying 6x3 + -10x2y + -56xy2 = 0 Reorder the terms: -56xy2 + -10x2y + 6x3 = 0 Solving -56xy2 + -10x2y + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-28y2 + -5xy + 3x2) = 0 Factor a trinomial. 2x((-7y + -3x)(4y + -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 '(-7y + -3x)' equal to zero and attempt to solve: Simplifying -7y + -3x = 0 Reorder the terms: -3x + -7y = 0 Solving -3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -3x + 0 = 0 + 7y -3x = 0 + 7y Remove the zero: -3x = 7y Divide each side by '-3'. x = -2.333333333y Simplifying x = -2.333333333ySubproblem 3
Set the factor '(4y + -1x)' equal to zero and attempt to solve: Simplifying 4y + -1x = 0 Reorder the terms: -1x + 4y = 0 Solving -1x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -1x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = 0 + -4y -1x = 0 + -4y Remove the zero: -1x = -4y Divide each side by '-1'. x = 4y Simplifying x = 4ySolution
x = {0, -2.333333333y, 4y}
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