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Simplifying (11x6 + -1x4) + -1(7x6 + 3x4) = 0 Reorder the terms: (-1x4 + 11x6) + -1(7x6 + 3x4) = 0 Remove parenthesis around (-1x4 + 11x6) -1x4 + 11x6 + -1(7x6 + 3x4) = 0 Reorder the terms: -1x4 + 11x6 + -1(3x4 + 7x6) = 0 -1x4 + 11x6 + (3x4 * -1 + 7x6 * -1) = 0 -1x4 + 11x6 + (-3x4 + -7x6) = 0 Reorder the terms: -1x4 + -3x4 + 11x6 + -7x6 = 0 Combine like terms: -1x4 + -3x4 = -4x4 -4x4 + 11x6 + -7x6 = 0 Combine like terms: 11x6 + -7x6 = 4x6 -4x4 + 4x6 = 0 Solving -4x4 + 4x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x4'. 4x4(-1 + x2) = 0 Factor a difference between two squares. 4x4((1 + x)(-1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {-1, 1}
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