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Simplifying x3y2 + 2x2y + -35x = 0 Reorder the terms: -35x + 2x2y + x3y2 = 0 Solving -35x + 2x2y + x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + 2xy + x2y2) = 0 Factor a trinomial. x((-7 + -1xy)(5 + -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 '(-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-1Subproblem 3
Set the factor '(5 + -1xy)' equal to zero and attempt to solve: Simplifying 5 + -1xy = 0 Solving 5 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1xy = 0 + -5 -1xy = 0 + -5 Combine like terms: 0 + -5 = -5 -1xy = -5 Divide each side by '-1y'. x = 5y-1 Simplifying x = 5y-1Solution
x = {0, -7y-1, 5y-1}
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