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Simplifying 0 = x4 + -9y2 Solving 0 = x4 + -9y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x4' to each side of the equation. 0 + -1x4 = x4 + -1x4 + -9y2 Remove the zero: -1x4 = x4 + -1x4 + -9y2 Combine like terms: x4 + -1x4 = 0 -1x4 = 0 + -9y2 -1x4 = -9y2 Divide each side by '-1'. x4 = 9y2 Simplifying x4 = 9y2 Combine like terms: 9y2 + -9y2 = 0 x4 + -9y2 = 0 Factor a difference between two squares. (x2 + 3y)(x2 + -3y) = 0Subproblem 1
Set the factor '(x2 + 3y)' equal to zero and attempt to solve: Simplifying x2 + 3y = 0 Solving x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x2 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x2 + 0 = 0 + -3y x2 = 0 + -3y Remove the zero: x2 = -3y Simplifying x2 = -3y 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 '(x2 + -3y)' equal to zero and attempt to solve: Simplifying x2 + -3y = 0 Solving x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x2 + 0 = 0 + 3y x2 = 0 + 3y Remove the zero: x2 = 3y Simplifying x2 = 3y 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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