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Simplifying 6x2 + 23x + -6 = -13 Reorder the terms: -6 + 23x + 6x2 = -13 Solving -6 + 23x + 6x2 = -13 Solving for variable 'x'. Reorder the terms: -6 + 13 + 23x + 6x2 = -13 + 13 Combine like terms: -6 + 13 = 7 7 + 23x + 6x2 = -13 + 13 Combine like terms: -13 + 13 = 0 7 + 23x + 6x2 = 0 Factor a trinomial. (7 + 2x)(1 + 3x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-3.5, -0.3333333333}
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