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Simplifying (x + 8) + (x + 9) + (x2 + -3x) + (3x + -2) = 63 Reorder the terms: (8 + x) + (x + 9) + (x2 + -3x) + (3x + -2) = 63 Remove parenthesis around (8 + x) 8 + x + (x + 9) + (x2 + -3x) + (3x + -2) = 63 Reorder the terms: 8 + x + (9 + x) + (x2 + -3x) + (3x + -2) = 63 Remove parenthesis around (9 + x) 8 + x + 9 + x + (x2 + -3x) + (3x + -2) = 63 Reorder the terms: 8 + x + 9 + x + (-3x + x2) + (3x + -2) = 63 Remove parenthesis around (-3x + x2) 8 + x + 9 + x + -3x + x2 + (3x + -2) = 63 Reorder the terms: 8 + x + 9 + x + -3x + x2 + (-2 + 3x) = 63 Remove parenthesis around (-2 + 3x) 8 + x + 9 + x + -3x + x2 + -2 + 3x = 63 Reorder the terms: 8 + 9 + -2 + x + x + -3x + 3x + x2 = 63 Combine like terms: 8 + 9 = 17 17 + -2 + x + x + -3x + 3x + x2 = 63 Combine like terms: 17 + -2 = 15 15 + x + x + -3x + 3x + x2 = 63 Combine like terms: x + x = 2x 15 + 2x + -3x + 3x + x2 = 63 Combine like terms: 2x + -3x = -1x 15 + -1x + 3x + x2 = 63 Combine like terms: -1x + 3x = 2x 15 + 2x + x2 = 63 Solving 15 + 2x + x2 = 63 Solving for variable 'x'. Reorder the terms: 15 + -63 + 2x + x2 = 63 + -63 Combine like terms: 15 + -63 = -48 -48 + 2x + x2 = 63 + -63 Combine like terms: 63 + -63 = 0 -48 + 2x + x2 = 0 Factor a trinomial. (-8 + -1x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-8, 6}
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