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Simplifying 4x2 + -9x + 12 = 2x + 6 Reorder the terms: 12 + -9x + 4x2 = 2x + 6 Reorder the terms: 12 + -9x + 4x2 = 6 + 2x Solving 12 + -9x + 4x2 = 6 + 2x Solving for variable 'x'. Reorder the terms: 12 + -6 + -9x + -2x + 4x2 = 6 + 2x + -6 + -2x Combine like terms: 12 + -6 = 6 6 + -9x + -2x + 4x2 = 6 + 2x + -6 + -2x Combine like terms: -9x + -2x = -11x 6 + -11x + 4x2 = 6 + 2x + -6 + -2x Reorder the terms: 6 + -11x + 4x2 = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 6 + -11x + 4x2 = 0 + 2x + -2x 6 + -11x + 4x2 = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -11x + 4x2 = 0 Factor a trinomial. (3 + -4x)(2 + -1x) = 0Subproblem 1
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 = 0.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.75, 2}
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