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Simplifying 8x2 + 30x + 13 = 0 Reorder the terms: 13 + 30x + 8x2 = 0 Solving 13 + 30x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + 4x)(1 + 2x) = 0Subproblem 1
Set the factor '(13 + 4x)' equal to zero and attempt to solve: Simplifying 13 + 4x = 0 Solving 13 + 4x = 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 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-3.25, -0.5}
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