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Simplifying 0 = x2 + 7x + -8 Reorder the terms: 0 = -8 + 7x + x2 Solving 0 = -8 + 7x + x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -7x + -1x2 = -8 + 7x + x2 + 8 + -7x + -1x2 Reorder the terms: 8 + -7x + -1x2 = -8 + 8 + 7x + -7x + x2 + -1x2 Combine like terms: -8 + 8 = 0 8 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2 8 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 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. (1 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {1, -8}
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