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Simplifying x2 + -32x + -273 = 0 Reorder the terms: -273 + -32x + x2 = 0 Solving -273 + -32x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(39 + -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 '(39 + -1x)' equal to zero and attempt to solve: Simplifying 39 + -1x = 0 Solving 39 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 0 + -39 -1x = 0 + -39 Combine like terms: 0 + -39 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39Solution
x = {-7, 39}
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