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Simplifying 12 = 4x2 + -9x + 3 Reorder the terms: 12 = 3 + -9x + 4x2 Solving 12 = 3 + -9x + 4x2 Solving for variable 'x'. Combine like terms: 12 + -3 = 9 9 + 9x + -4x2 = 3 + -9x + 4x2 + -3 + 9x + -4x2 Reorder the terms: 9 + 9x + -4x2 = 3 + -3 + -9x + 9x + 4x2 + -4x2 Combine like terms: 3 + -3 = 0 9 + 9x + -4x2 = 0 + -9x + 9x + 4x2 + -4x2 9 + 9x + -4x2 = -9x + 9x + 4x2 + -4x2 Combine like terms: -9x + 9x = 0 9 + 9x + -4x2 = 0 + 4x2 + -4x2 9 + 9x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + 9x + -4x2 = 0 Factor a trinomial. (3 + -1x)(3 + 4x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -0.75}
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