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Simplifying 54x6y2 + -38x3y2 + -16y2 = 0 Reorder the terms: -38x3y2 + 54x6y2 + -16y2 = 0 Solving -38x3y2 + 54x6y2 + -16y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-19x3 + 27x6 + -8) = 0 Factor a trinomial. 2y2((x3 + -1)(27x3 + 8)) = 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 '(x3 + -1)' equal to zero and attempt to solve: Simplifying x3 + -1 = 0 Reorder the terms: -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(27x3 + 8)' equal to zero and attempt to solve: Simplifying 27x3 + 8 = 0 Reorder the terms: 8 + 27x3 = 0 Solving 8 + 27x3 = 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 + 27x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 27x3 = 0 + -8 27x3 = 0 + -8 Combine like terms: 0 + -8 = -8 27x3 = -8 Divide each side by '27'. x3 = -0.2962962963 Simplifying x3 = -0.2962962963 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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