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Simplifying 16x2 + -15x + -99 = 0 Reorder the terms: -99 + -15x + 16x2 = 0 Solving -99 + -15x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-33 + -16x)(3 + -1x) = 0Subproblem 1
Set the factor '(-33 + -16x)' equal to zero and attempt to solve: Simplifying -33 + -16x = 0 Solving -33 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -16x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -16x = 0 + 33 -16x = 0 + 33 Combine like terms: 0 + 33 = 33 -16x = 33 Divide each side by '-16'. x = -2.0625 Simplifying x = -2.0625Subproblem 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 = {-2.0625, 3}
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