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Simplifying 7x2 + 13x + -20 = 0 Reorder the terms: -20 + 13x + 7x2 = 0 Solving -20 + 13x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-20 + -7x)' equal to zero and attempt to solve: Simplifying -20 + -7x = 0 Solving -20 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -7x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 0 + 20 -7x = 0 + 20 Combine like terms: 0 + 20 = 20 -7x = 20 Divide each side by '-7'. x = -2.857142857 Simplifying x = -2.857142857Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-2.857142857, 1}
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