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Simplifying (x9 + -1x6)(x9 + x6) = 0 Reorder the terms: (-1x6 + x9)(x9 + x6) = 0 Reorder the terms: (-1x6 + x9)(x6 + x9) = 0 Multiply (-1x6 + x9) * (x6 + x9) (-1x6 * (x6 + x9) + x9(x6 + x9)) = 0 ((x6 * -1x6 + x9 * -1x6) + x9(x6 + x9)) = 0 ((-1x12 + -1x15) + x9(x6 + x9)) = 0 (-1x12 + -1x15 + (x6 * x9 + x9 * x9)) = 0 (-1x12 + -1x15 + (x15 + x18)) = 0 Combine like terms: -1x15 + x15 = 0 (-1x12 + 0 + x18) = 0 (-1x12 + x18) = 0 Solving -1x12 + x18 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x12'. x12(-1 + x6) = 0 Factor a difference between two squares. x12((1 + x3)(-1 + x3)) = 0Subproblem 1
Set the factor 'x12' equal to zero and attempt to solve: Simplifying x12 = 0 Solving x12 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x12 = 0 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 '(1 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 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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