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Simplifying X4 + -81x2 = 0 Solving X4 + -81x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '81x2' to each side of the equation. X4 + -81x2 + 81x2 = 0 + 81x2 Combine like terms: -81x2 + 81x2 = 0 X4 + 0 = 0 + 81x2 X4 = 0 + 81x2 Remove the zero: X4 = 81x2 Simplifying X4 = 81x2 Combine like terms: 81x2 + -81x2 = 0 X4 + -81x2 = 0 Factor a difference between two squares. (X2 + 9x)(X2 + -9x) = 0Subproblem 1
Set the factor '(X2 + 9x)' equal to zero and attempt to solve: Simplifying X2 + 9x = 0 Solving X2 + 9x = 0 Move all terms containing X to the left, all other terms to the right. Add '-9x' to each side of the equation. X2 + 9x + -9x = 0 + -9x Combine like terms: 9x + -9x = 0 X2 + 0 = 0 + -9x X2 = 0 + -9x Remove the zero: X2 = -9x Simplifying X2 = -9x 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 + -9x)' equal to zero and attempt to solve: Simplifying X2 + -9x = 0 Solving X2 + -9x = 0 Move all terms containing X to the left, all other terms to the right. Add '9x' to each side of the equation. X2 + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 X2 + 0 = 0 + 9x X2 = 0 + 9x Remove the zero: X2 = 9x Simplifying X2 = 9x 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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