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Simplifying -7x2 + -22x + 65 = 0 Reorder the terms: 65 + -22x + -7x2 = 0 Solving 65 + -22x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -7x)(5 + x) = 0Subproblem 1
Set the factor '(13 + -7x)' equal to zero and attempt to solve: Simplifying 13 + -7x = 0 Solving 13 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 0 + -13 -7x = 0 + -13 Combine like terms: 0 + -13 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.857142857, -5}
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