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Simplifying 3x2 + 16x + -387 = 0 Reorder the terms: -387 + 16x + 3x2 = 0 Solving -387 + 16x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-43 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-43 + -3x)' equal to zero and attempt to solve: Simplifying -43 + -3x = 0 Solving -43 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -3x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -3x = 0 + 43 -3x = 0 + 43 Combine like terms: 0 + 43 = 43 -3x = 43 Divide each side by '-3'. x = -14.33333333 Simplifying x = -14.33333333Subproblem 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 = {-14.33333333, 9}
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