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Simplifying 12x2 + 12(2x + 1) = -1x Reorder the terms: 12x2 + 12(1 + 2x) = -1x 12x2 + (1 * 12 + 2x * 12) = -1x 12x2 + (12 + 24x) = -1x Reorder the terms: 12 + 24x + 12x2 = -1x Solving 12 + 24x + 12x2 = -1x Solving for variable 'x'. Reorder the terms: 12 + 24x + x + 12x2 = -1x + x Combine like terms: 24x + x = 25x 12 + 25x + 12x2 = -1x + x Combine like terms: -1x + x = 0 12 + 25x + 12x2 = 0 Factor a trinomial. (4 + 3x)(3 + 4x) = 0Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, -0.75}
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