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Simplifying 26x2 + 73x + 20 = 0 Reorder the terms: 20 + 73x + 26x2 = 0 Solving 20 + 73x + 26x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x)(4 + 13x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(4 + 13x)' equal to zero and attempt to solve: Simplifying 4 + 13x = 0 Solving 4 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077Solution
x = {-2.5, -0.3076923077}
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