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Simplifying x2 + 19x + 73 = 2x + 1 Reorder the terms: 73 + 19x + x2 = 2x + 1 Reorder the terms: 73 + 19x + x2 = 1 + 2x Solving 73 + 19x + x2 = 1 + 2x Solving for variable 'x'. Reorder the terms: 73 + -1 + 19x + -2x + x2 = 1 + 2x + -1 + -2x Combine like terms: 73 + -1 = 72 72 + 19x + -2x + x2 = 1 + 2x + -1 + -2x Combine like terms: 19x + -2x = 17x 72 + 17x + x2 = 1 + 2x + -1 + -2x Reorder the terms: 72 + 17x + x2 = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 72 + 17x + x2 = 0 + 2x + -2x 72 + 17x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 72 + 17x + x2 = 0 Factor a trinomial. (9 + x)(8 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-9, -8}
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