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Simplifying 16x2 + 58x + 51 = 0 Reorder the terms: 51 + 58x + 16x2 = 0 Solving 51 + 58x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 8x)(3 + 2x) = 0Subproblem 1
Set the factor '(17 + 8x)' equal to zero and attempt to solve: Simplifying 17 + 8x = 0 Solving 17 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 0 + -17 8x = 0 + -17 Combine like terms: 0 + -17 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-2.125, -1.5}
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