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Simplifying 3x2 + 23x + 34 = 0 Reorder the terms: 34 + 23x + 3x2 = 0 Solving 34 + 23x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 3x)(2 + x) = 0Subproblem 1
Set the factor '(17 + 3x)' equal to zero and attempt to solve: Simplifying 17 + 3x = 0 Solving 17 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-5.666666667, -2}
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