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Simplifying 12X2 + -11X + 2 = 0 Reorder the terms: 2 + -11X + 12X2 = 0 Solving 2 + -11X + 12X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -4X)(2 + -3X) = 0Subproblem 1
Set the factor '(1 + -4X)' equal to zero and attempt to solve: Simplifying 1 + -4X = 0 Solving 1 + -4X = 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 + -4X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4X = 0 + -1 -4X = 0 + -1 Combine like terms: 0 + -1 = -1 -4X = -1 Divide each side by '-4'. X = 0.25 Simplifying X = 0.25Subproblem 2
Set the factor '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 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 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Solution
X = {0.25, 0.6666666667}
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