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Simplifying 12x2 + 29x + -3 = -18 Reorder the terms: -3 + 29x + 12x2 = -18 Solving -3 + 29x + 12x2 = -18 Solving for variable 'x'. Reorder the terms: -3 + 18 + 29x + 12x2 = -18 + 18 Combine like terms: -3 + 18 = 15 15 + 29x + 12x2 = -18 + 18 Combine like terms: -18 + 18 = 0 15 + 29x + 12x2 = 0 Factor a trinomial. (5 + 3x)(3 + 4x) = 0Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1.666666667, -0.75}
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