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Simplifying 12X2 + -32X = -21 Reorder the terms: -32X + 12X2 = -21 Solving -32X + 12X2 = -21 Solving for variable 'X'. Reorder the terms: 21 + -32X + 12X2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -32X + 12X2 = 0 Factor a trinomial. (7 + -6X)(3 + -2X) = 0Subproblem 1
Set the factor '(7 + -6X)' equal to zero and attempt to solve: Simplifying 7 + -6X = 0 Solving 7 + -6X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6X = 0 + -7 -6X = 0 + -7 Combine like terms: 0 + -7 = -7 -6X = -7 Divide each side by '-6'. X = 1.166666667 Simplifying X = 1.166666667Subproblem 2
Set the factor '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 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 + -2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 0 + -3 -2X = 0 + -3 Combine like terms: 0 + -3 = -3 -2X = -3 Divide each side by '-2'. X = 1.5 Simplifying X = 1.5Solution
X = {1.166666667, 1.5}
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