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Simplifying 7x2 + 31x + -90 = 0 Reorder the terms: -90 + 31x + 7x2 = 0 Solving -90 + 31x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-45 + -7x)(2 + -1x) = 0Subproblem 1
Set the factor '(-45 + -7x)' equal to zero and attempt to solve: Simplifying -45 + -7x = 0 Solving -45 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -7x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 0 + 45 -7x = 0 + 45 Combine like terms: 0 + 45 = 45 -7x = 45 Divide each side by '-7'. x = -6.428571429 Simplifying x = -6.428571429Subproblem 2
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 = 2Solution
x = {-6.428571429, 2}
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