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Simplifying -3x2 + 22x + 93 = 0 Reorder the terms: 93 + 22x + -3x2 = 0 Solving 93 + 22x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (31 + -3x)(3 + x) = 0Subproblem 1
Set the factor '(31 + -3x)' equal to zero and attempt to solve: Simplifying 31 + -3x = 0 Solving 31 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -3x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 0 + -31 -3x = 0 + -31 Combine like terms: 0 + -31 = -31 -3x = -31 Divide each side by '-3'. x = 10.33333333 Simplifying x = 10.33333333Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {10.33333333, -3}
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