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Simplifying X4 + -64x2 = 0 Solving X4 + -64x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '64x2' to each side of the equation. X4 + -64x2 + 64x2 = 0 + 64x2 Combine like terms: -64x2 + 64x2 = 0 X4 + 0 = 0 + 64x2 X4 = 0 + 64x2 Remove the zero: X4 = 64x2 Simplifying X4 = 64x2 Combine like terms: 64x2 + -64x2 = 0 X4 + -64x2 = 0 Factor a difference between two squares. (X2 + 8x)(X2 + -8x) = 0Subproblem 1
Set the factor '(X2 + 8x)' equal to zero and attempt to solve: Simplifying X2 + 8x = 0 Solving X2 + 8x = 0 Move all terms containing X to the left, all other terms to the right. Add '-8x' to each side of the equation. X2 + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 X2 + 0 = 0 + -8x X2 = 0 + -8x Remove the zero: X2 = -8x Simplifying X2 = -8x 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 + -8x)' equal to zero and attempt to solve: Simplifying X2 + -8x = 0 Solving X2 + -8x = 0 Move all terms containing X to the left, all other terms to the right. Add '8x' to each side of the equation. X2 + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 X2 + 0 = 0 + 8x X2 = 0 + 8x Remove the zero: X2 = 8x Simplifying X2 = 8x 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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