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Simplifying 12x6 + -27y4 = 0 Solving 12x6 + -27y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y4' to each side of the equation. 12x6 + -27y4 + 27y4 = 0 + 27y4 Combine like terms: -27y4 + 27y4 = 0 12x6 + 0 = 0 + 27y4 12x6 = 0 + 27y4 Remove the zero: 12x6 = 27y4 Divide each side by '12'. x6 = 2.25y4 Simplifying x6 = 2.25y4 Combine like terms: 2.25y4 + -2.25y4 = 0.00 x6 + -2.25y4 = 0.00 Factor a difference between two squares. (x3 + 1.5y2)(x3 + -1.5y2) = 0.00Subproblem 1
Set the factor '(x3 + 1.5y2)' equal to zero and attempt to solve: Simplifying x3 + 1.5y2 = 0 Solving x3 + 1.5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5y2' to each side of the equation. x3 + 1.5y2 + -1.5y2 = 0 + -1.5y2 Combine like terms: 1.5y2 + -1.5y2 = 0.0 x3 + 0.0 = 0 + -1.5y2 x3 = 0 + -1.5y2 Remove the zero: 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 '(x3 + -1.5y2)' equal to zero and attempt to solve: Simplifying x3 + -1.5y2 = 0 Solving x3 + -1.5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5y2' to each side of the equation. x3 + -1.5y2 + 1.5y2 = 0 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 x3 + 0.0 = 0 + 1.5y2 x3 = 0 + 1.5y2 Remove the zero: 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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