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Simplifying 7x = x2 + -8 Reorder the terms: 7x = -8 + x2 Solving 7x = -8 + x2 Solving for variable 'x'. Reorder the terms: 8 + 7x + -1x2 = -8 + x2 + 8 + -1x2 Reorder the terms: 8 + 7x + -1x2 = -8 + 8 + x2 + -1x2 Combine like terms: -8 + 8 = 0 8 + 7x + -1x2 = 0 + x2 + -1x2 8 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 7x + -1x2 = 0 Factor a trinomial. (8 + -1x)(1 + x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = -1Solution
x = {8, -1}
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