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Simplifying x(x + 19) + -17(x + 19) = 0 Reorder the terms: x(19 + x) + -17(x + 19) = 0 (19 * x + x * x) + -17(x + 19) = 0 (19x + x2) + -17(x + 19) = 0 Reorder the terms: 19x + x2 + -17(19 + x) = 0 19x + x2 + (19 * -17 + x * -17) = 0 19x + x2 + (-323 + -17x) = 0 Reorder the terms: -323 + 19x + -17x + x2 = 0 Combine like terms: 19x + -17x = 2x -323 + 2x + x2 = 0 Solving -323 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-19, 17}
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