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Simplifying 3x2 + -67x + 330 = 0 Reorder the terms: 330 + -67x + 3x2 = 0 Solving 330 + -67x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (22 + -3x)(15 + -1x) = 0Subproblem 1
Set the factor '(22 + -3x)' equal to zero and attempt to solve: Simplifying 22 + -3x = 0 Solving 22 + -3x = 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 + -3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 0 + -22 -3x = 0 + -22 Combine like terms: 0 + -22 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333Subproblem 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 = {7.333333333, 15}
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