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Simplifying x3y2 + x2y + -56x = 0 Reorder the terms: -56x + x2y + x3y2 = 0 Solving -56x + x2y + x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-56 + xy + x2y2) = 0 Factor a trinomial. x((-8 + -1xy)(7 + -1xy)) = 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 '(-8 + -1xy)' equal to zero and attempt to solve: Simplifying -8 + -1xy = 0 Solving -8 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1xy = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1xy = 0 + 8 -1xy = 0 + 8 Combine like terms: 0 + 8 = 8 -1xy = 8 Divide each side by '-1y'. x = -8y-1 Simplifying x = -8y-1Subproblem 3
Set the factor '(7 + -1xy)' equal to zero and attempt to solve: Simplifying 7 + -1xy = 0 Solving 7 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1xy = 0 + -7 -1xy = 0 + -7 Combine like terms: 0 + -7 = -7 -1xy = -7 Divide each side by '-1y'. x = 7y-1 Simplifying x = 7y-1Solution
x = {0, -8y-1, 7y-1}
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