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Simplifying 4x6 + -12x3y2 + 9y4 = 0 Reorder the terms: -12x3y2 + 4x6 + 9y4 = 0 Solving -12x3y2 + 4x6 + 9y4 = 0 Solving for variable 'x'. Factor a trinomial. (2x3 + -3y2)(2x3 + -3y2) = 0Subproblem 1
Set the factor '(2x3 + -3y2)' equal to zero and attempt to solve: Simplifying 2x3 + -3y2 = 0 Solving 2x3 + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. 2x3 + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 2x3 + 0 = 0 + 3y2 2x3 = 0 + 3y2 Remove the zero: 2x3 = 3y2 Divide each side by '2'. x3 = 1.5y2 Simplifying x3 = 1.5y2 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 '(2x3 + -3y2)' equal to zero and attempt to solve: Simplifying 2x3 + -3y2 = 0 Solving 2x3 + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. 2x3 + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 2x3 + 0 = 0 + 3y2 2x3 = 0 + 3y2 Remove the zero: 2x3 = 3y2 Divide each side by '2'. x3 = 1.5y2 Simplifying x3 = 1.5y2 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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