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Simplifying x2 + 7x + -330 = 0 Reorder the terms: -330 + 7x + x2 = 0 Solving -330 + 7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-22 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-22, 15}
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