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Simplifying (x2 + -1)(x2 + -1) = 64 Reorder the terms: (-1 + x2)(x2 + -1) = 64 Reorder the terms: (-1 + x2)(-1 + x2) = 64 Multiply (-1 + x2) * (-1 + x2) (-1(-1 + x2) + x2(-1 + x2)) = 64 ((-1 * -1 + x2 * -1) + x2(-1 + x2)) = 64 ((1 + -1x2) + x2(-1 + x2)) = 64 (1 + -1x2 + (-1 * x2 + x2 * x2)) = 64 (1 + -1x2 + (-1x2 + x4)) = 64 Combine like terms: -1x2 + -1x2 = -2x2 (1 + -2x2 + x4) = 64 Solving 1 + -2x2 + x4 = 64 Solving for variable 'x'. Reorder the terms: 1 + -64 + -2x2 + x4 = 64 + -64 Combine like terms: 1 + -64 = -63 -63 + -2x2 + x4 = 64 + -64 Combine like terms: 64 + -64 = 0 -63 + -2x2 + x4 = 0 Factor a trinomial. (-7 + -1x2)(9 + -1x2) = 0 Factor a difference between two squares. (-7 + -1x2)((3 + x)(3 + -1x)) = 0Subproblem 1
Set the factor '(-7 + -1x2)' equal to zero and attempt to solve: Simplifying -7 + -1x2 = 0 Solving -7 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x2 = 0 + 7 -1x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1x2 = 7 Divide each side by '-1'. x2 = -7 Simplifying x2 = -7 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3, 3}
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