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Simplifying 7x2 + -1x + -60 = 0 Reorder the terms: -60 + -1x + 7x2 = 0 Solving -60 + -1x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -7x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2.857142857, 3}
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