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Simplifying x6 + -36y2 = 0 Solving x6 + -36y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36y2' to each side of the equation. x6 + -36y2 + 36y2 = 0 + 36y2 Combine like terms: -36y2 + 36y2 = 0 x6 + 0 = 0 + 36y2 x6 = 0 + 36y2 Remove the zero: x6 = 36y2 Simplifying x6 = 36y2 Combine like terms: 36y2 + -36y2 = 0 x6 + -36y2 = 0 Factor a difference between two squares. (x3 + 6y)(x3 + -6y) = 0Subproblem 1
Set the factor '(x3 + 6y)' equal to zero and attempt to solve: Simplifying x3 + 6y = 0 Solving x3 + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x3 + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x3 + 0 = 0 + -6y x3 = 0 + -6y Remove the zero: x3 = -6y Simplifying x3 = -6y 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 + -6y)' equal to zero and attempt to solve: Simplifying x3 + -6y = 0 Solving x3 + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x3 + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x3 + 0 = 0 + 6y x3 = 0 + 6y Remove the zero: x3 = 6y Simplifying x3 = 6y 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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