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Simplifying -1x2 + 37x + -322 = 0 Reorder the terms: -322 + 37x + -1x2 = 0 Solving -322 + 37x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + x)(14 + -1x) = 0Subproblem 1
Set the factor '(-23 + x)' equal to zero and attempt to solve: Simplifying -23 + x = 0 Solving -23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + x = 0 + 23 x = 0 + 23 Combine like terms: 0 + 23 = 23 x = 23 Simplifying x = 23Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {23, 14}
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