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Simplifying x2 + 10x + 5 = 269 Reorder the terms: 5 + 10x + x2 = 269 Solving 5 + 10x + x2 = 269 Solving for variable 'x'. Reorder the terms: 5 + -269 + 10x + x2 = 269 + -269 Combine like terms: 5 + -269 = -264 -264 + 10x + x2 = 269 + -269 Combine like terms: 269 + -269 = 0 -264 + 10x + x2 = 0 Factor a trinomial. (-22 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-22, 12}
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