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Simplifying x6 + 5x3y2 + -24y4 = 0 Reorder the terms: 5x3y2 + x6 + -24y4 = 0 Solving 5x3y2 + x6 + -24y4 = 0 Solving for variable 'x'. Factor a trinomial. (x3 + -3y2)(x3 + 8y2) = 0Subproblem 1
Set the factor '(x3 + -3y2)' equal to zero and attempt to solve: Simplifying x3 + -3y2 = 0 Solving x3 + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. x3 + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x3 + 0 = 0 + 3y2 x3 = 0 + 3y2 Remove the zero: x3 = 3y2 Simplifying x3 = 3y2 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 + 8y2)' equal to zero and attempt to solve: Simplifying x3 + 8y2 = 0 Solving x3 + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. x3 + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 x3 + 0 = 0 + -8y2 x3 = 0 + -8y2 Remove the zero: x3 = -8y2 Simplifying x3 = -8y2 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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