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Simplifying -40x2 + -6x + 13 = 0 Reorder the terms: 13 + -6x + -40x2 = 0 Solving 13 + -6x + -40x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(13 + 20x) = 0Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(13 + 20x)' equal to zero and attempt to solve: Simplifying 13 + 20x = 0 Solving 13 + 20x = 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 + 20x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 20x = 0 + -13 20x = 0 + -13 Combine like terms: 0 + -13 = -13 20x = -13 Divide each side by '20'. x = -0.65 Simplifying x = -0.65Solution
x = {0.5, -0.65}
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