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Simplifying (7x8 + 7)(7x8 + 7) = 0 Reorder the terms: (7 + 7x8)(7x8 + 7) = 0 Reorder the terms: (7 + 7x8)(7 + 7x8) = 0 Multiply (7 + 7x8) * (7 + 7x8) (7(7 + 7x8) + 7x8 * (7 + 7x8)) = 0 ((7 * 7 + 7x8 * 7) + 7x8 * (7 + 7x8)) = 0 ((49 + 49x8) + 7x8 * (7 + 7x8)) = 0 (49 + 49x8 + (7 * 7x8 + 7x8 * 7x8)) = 0 (49 + 49x8 + (49x8 + 49x16)) = 0 Combine like terms: 49x8 + 49x8 = 98x8 (49 + 98x8 + 49x16) = 0 Solving 49 + 98x8 + 49x16 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '49'. 49(1 + 2x8 + x16) = 0 Factor a trinomial. 49((1 + x8)(1 + x8)) = 0 Ignore the factor 49.Subproblem 1
Set the factor '(1 + x8)' equal to zero and attempt to solve: Simplifying 1 + x8 = 0 Solving 1 + x8 = 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 + x8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x8 = 0 + -1 x8 = 0 + -1 Combine like terms: 0 + -1 = -1 x8 = -1 Simplifying x8 = -1 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 + x8)' equal to zero and attempt to solve: Simplifying 1 + x8 = 0 Solving 1 + x8 = 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 + x8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x8 = 0 + -1 x8 = 0 + -1 Combine like terms: 0 + -1 = -1 x8 = -1 Simplifying x8 = -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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