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Simplifying 13x2 + 41x + 30 = 0 Reorder the terms: 30 + 41x + 13x2 = 0 Solving 30 + 41x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(15 + 13x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(15 + 13x)' equal to zero and attempt to solve: Simplifying 15 + 13x = 0 Solving 15 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 13x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = 0 + -15 13x = 0 + -15 Combine like terms: 0 + -15 = -15 13x = -15 Divide each side by '13'. x = -1.153846154 Simplifying x = -1.153846154Solution
x = {-2, -1.153846154}
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