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Simplifying 16x2 + 27x + -10 = 0 Reorder the terms: -10 + 27x + 16x2 = 0 Solving -10 + 27x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(5 + -16x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(5 + -16x)' equal to zero and attempt to solve: Simplifying 5 + -16x = 0 Solving 5 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -16x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 0 + -5 -16x = 0 + -5 Combine like terms: 0 + -5 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125Solution
x = {-2, 0.3125}
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