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Simplifying 3x2 + 14x + -69 = 0 Reorder the terms: -69 + 14x + 3x2 = 0 Solving -69 + 14x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -3x)(3 + -1x) = 0Subproblem 1
Set the factor '(-23 + -3x)' equal to zero and attempt to solve: Simplifying -23 + -3x = 0 Solving -23 + -3x = 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 + -3x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = 0 + 23 -3x = 0 + 23 Combine like terms: 0 + 23 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-7.666666667, 3}
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