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Simplifying x2 + 17x = 15x + 35 Reorder the terms: 17x + x2 = 15x + 35 Reorder the terms: 17x + x2 = 35 + 15x Solving 17x + x2 = 35 + 15x Solving for variable 'x'. Reorder the terms: -35 + 17x + -15x + x2 = 35 + 15x + -35 + -15x Combine like terms: 17x + -15x = 2x -35 + 2x + x2 = 35 + 15x + -35 + -15x Reorder the terms: -35 + 2x + x2 = 35 + -35 + 15x + -15x Combine like terms: 35 + -35 = 0 -35 + 2x + x2 = 0 + 15x + -15x -35 + 2x + x2 = 15x + -15x Combine like terms: 15x + -15x = 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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