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Simplifying x2 + 14x + 33 = 240 Reorder the terms: 33 + 14x + x2 = 240 Solving 33 + 14x + x2 = 240 Solving for variable 'x'. Reorder the terms: 33 + -240 + 14x + x2 = 240 + -240 Combine like terms: 33 + -240 = -207 -207 + 14x + x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -207 + 14x + x2 = 0 Factor a trinomial. (-23 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 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 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-23, 9}
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