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Simplifying 3x3y5 + 6x2y5 + -24xy5 = 0 Reorder the terms: -24xy5 + 6x2y5 + 3x3y5 = 0 Solving -24xy5 + 6x2y5 + 3x3y5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy5'. 3xy5(-8 + 2x + x2) = 0 Factor a trinomial. 3xy5((-4 + -1x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy5' equal to zero and attempt to solve: Simplifying xy5 = 0 Solving xy5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4, 2}
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