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Simplifying 7x2 + -40x + -6 = 6 Reorder the terms: -6 + -40x + 7x2 = 6 Solving -6 + -40x + 7x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + -6 + -40x + 7x2 = 6 + -6 Combine like terms: -6 + -6 = -12 -12 + -40x + 7x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -12 + -40x + 7x2 = 0 Factor a trinomial. (-2 + -7x)(6 + -1x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 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 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.2857142857, 6}
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