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Simplifying (x3 + 8)(x3 + -8) = 0 Reorder the terms: (8 + x3)(x3 + -8) = 0 Reorder the terms: (8 + x3)(-8 + x3) = 0 Multiply (8 + x3) * (-8 + x3) (8(-8 + x3) + x3(-8 + x3)) = 0 ((-8 * 8 + x3 * 8) + x3(-8 + x3)) = 0 ((-64 + 8x3) + x3(-8 + x3)) = 0 (-64 + 8x3 + (-8 * x3 + x3 * x3)) = 0 (-64 + 8x3 + (-8x3 + x6)) = 0 Combine like terms: 8x3 + -8x3 = 0 (-64 + 0 + x6) = 0 (-64 + x6) = 0 Solving -64 + x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + x6 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + x6 = 0 + 64 x6 = 0 + 64 Combine like terms: 0 + 64 = 64 x6 = 64 Simplifying x6 = 64 Reorder the terms: -64 + x6 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + x6 = 0 Factor a difference between two squares. (8 + x3)(-8 + x3) = 0Subproblem 1
Set the factor '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3 = -8 Simplifying x3 = -8 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 '(-8 + x3)' equal to zero and attempt to solve: Simplifying -8 + x3 = 0 Solving -8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3 = 0 + 8 x3 = 0 + 8 Combine like terms: 0 + 8 = 8 x3 = 8 Simplifying x3 = 8 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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