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Simplifying 8x + 26 = x2 + -7 Reorder the terms: 26 + 8x = x2 + -7 Reorder the terms: 26 + 8x = -7 + x2 Solving 26 + 8x = -7 + x2 Solving for variable 'x'. Reorder the terms: 26 + 7 + 8x + -1x2 = -7 + x2 + 7 + -1x2 Combine like terms: 26 + 7 = 33 33 + 8x + -1x2 = -7 + x2 + 7 + -1x2 Reorder the terms: 33 + 8x + -1x2 = -7 + 7 + x2 + -1x2 Combine like terms: -7 + 7 = 0 33 + 8x + -1x2 = 0 + x2 + -1x2 33 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 33 + 8x + -1x2 = 0 Factor a trinomial. (11 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 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 = -3Solution
x = {11, -3}
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