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Simplifying 30x2 + 83x + 39 = 0 Reorder the terms: 39 + 83x + 30x2 = 0 Solving 39 + 83x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + 6x)(3 + 5x) = 0Subproblem 1
Set the factor '(13 + 6x)' equal to zero and attempt to solve: Simplifying 13 + 6x = 0 Solving 13 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 0 + -13 6x = 0 + -13 Combine like terms: 0 + -13 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2.166666667, -0.6}
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