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Simplifying 10x2 + 83x + 91 = 0 Reorder the terms: 91 + 83x + 10x2 = 0 Solving 91 + 83x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(13 + 10x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(13 + 10x)' equal to zero and attempt to solve: Simplifying 13 + 10x = 0 Solving 13 + 10x = 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 + 10x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 0 + -13 10x = 0 + -13 Combine like terms: 0 + -13 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3Solution
x = {-7, -1.3}
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