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Simplifying 3x2 + 16x + -75 = 0 Reorder the terms: -75 + 16x + 3x2 = 0 Solving -75 + 16x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -3x)(3 + -1x) = 0Subproblem 1
Set the factor '(-25 + -3x)' equal to zero and attempt to solve: Simplifying -25 + -3x = 0 Solving -25 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = 0 + 25 -3x = 0 + 25 Combine like terms: 0 + 25 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333Subproblem 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 = {-8.333333333, 3}
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