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Simplifying 8x + 7 = x2 + 22 Reorder the terms: 7 + 8x = x2 + 22 Reorder the terms: 7 + 8x = 22 + x2 Solving 7 + 8x = 22 + x2 Solving for variable 'x'. Reorder the terms: 7 + -22 + 8x + -1x2 = 22 + x2 + -22 + -1x2 Combine like terms: 7 + -22 = -15 -15 + 8x + -1x2 = 22 + x2 + -22 + -1x2 Reorder the terms: -15 + 8x + -1x2 = 22 + -22 + x2 + -1x2 Combine like terms: 22 + -22 = 0 -15 + 8x + -1x2 = 0 + x2 + -1x2 -15 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 8x + -1x2 = 0 Factor a trinomial. (-5 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {5, 3}
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