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Simplifying (x + 7) + (x + 8) + (x2 + -3x) + (3x + -3) = 47 Reorder the terms: (7 + x) + (x + 8) + (x2 + -3x) + (3x + -3) = 47 Remove parenthesis around (7 + x) 7 + x + (x + 8) + (x2 + -3x) + (3x + -3) = 47 Reorder the terms: 7 + x + (8 + x) + (x2 + -3x) + (3x + -3) = 47 Remove parenthesis around (8 + x) 7 + x + 8 + x + (x2 + -3x) + (3x + -3) = 47 Reorder the terms: 7 + x + 8 + x + (-3x + x2) + (3x + -3) = 47 Remove parenthesis around (-3x + x2) 7 + x + 8 + x + -3x + x2 + (3x + -3) = 47 Reorder the terms: 7 + x + 8 + x + -3x + x2 + (-3 + 3x) = 47 Remove parenthesis around (-3 + 3x) 7 + x + 8 + x + -3x + x2 + -3 + 3x = 47 Reorder the terms: 7 + 8 + -3 + x + x + -3x + 3x + x2 = 47 Combine like terms: 7 + 8 = 15 15 + -3 + x + x + -3x + 3x + x2 = 47 Combine like terms: 15 + -3 = 12 12 + x + x + -3x + 3x + x2 = 47 Combine like terms: x + x = 2x 12 + 2x + -3x + 3x + x2 = 47 Combine like terms: 2x + -3x = -1x 12 + -1x + 3x + x2 = 47 Combine like terms: -1x + 3x = 2x 12 + 2x + x2 = 47 Solving 12 + 2x + x2 = 47 Solving for variable 'x'. Reorder the terms: 12 + -47 + 2x + x2 = 47 + -47 Combine like terms: 12 + -47 = -35 -35 + 2x + x2 = 47 + -47 Combine like terms: 47 + -47 = 0 -35 + 2x + x2 = 0 Factor a trinomial. (-7 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-7, 5}
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