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Simplifying 2x2 + -13x + 12 = 6 Reorder the terms: 12 + -13x + 2x2 = 6 Solving 12 + -13x + 2x2 = 6 Solving for variable 'x'. Reorder the terms: 12 + -6 + -13x + 2x2 = 6 + -6 Combine like terms: 12 + -6 = 6 6 + -13x + 2x2 = 6 + -6 Combine like terms: 6 + -6 = 0 6 + -13x + 2x2 = 0 Factor a trinomial. (1 + -2x)(6 + -1x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.5, 6}
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