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Simplifying (x + -6) * x = 247 Reorder the terms: (-6 + x) * x = 247 Reorder the terms for easier multiplication: x(-6 + x) = 247 (-6 * x + x * x) = 247 (-6x + x2) = 247 Solving -6x + x2 = 247 Solving for variable 'x'. Reorder the terms: -247 + -6x + x2 = 247 + -247 Combine like terms: 247 + -247 = 0 -247 + -6x + x2 = 0 Factor a trinomial. (-13 + -1x)(19 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
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 = 19Solution
x = {-13, 19}
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