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Simplifying 7x2 + -6x + -40 = 0 Reorder the terms: -40 + -6x + 7x2 = 0 Solving -40 + -6x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(20 + -7x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
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 = 2.857142857Solution
x = {-2, 2.857142857}
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