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Simplifying 2x3 + 3x2y + -5xy2 = 0 Reorder the terms: -5xy2 + 3x2y + 2x3 = 0 Solving -5xy2 + 3x2y + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5y2 + 3xy + 2x2) = 0 Factor a trinomial. x((-5y + -2x)(y + -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 '(-5y + -2x)' equal to zero and attempt to solve: Simplifying -5y + -2x = 0 Reorder the terms: -2x + -5y = 0 Solving -2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = 0 + 5y -2x = 0 + 5y Remove the zero: -2x = 5y Divide each side by '-2'. x = -2.5y Simplifying x = -2.5ySubproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySolution
x = {0, -2.5y, y}
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