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Simplifying 12x2y2 + -2xy2 + -24y2 = 0 Reorder the terms: -2xy2 + 12x2y2 + -24y2 = 0 Solving -2xy2 + 12x2y2 + -24y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-1x + 6x2 + -12) = 0 Factor a trinomial. 2y2((2x + -3)(3x + 4)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(2x + -3)' equal to zero and attempt to solve: Simplifying 2x + -3 = 0 Reorder the terms: -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 3
Set the factor '(3x + 4)' equal to zero and attempt to solve: Simplifying 3x + 4 = 0 Reorder the terms: 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {1.5, -1.333333333}
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