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Simplifying 6X2 + -33X = -36 Reorder the terms: -33X + 6X2 = -36 Solving -33X + 6X2 = -36 Solving for variable 'X'. Reorder the terms: 36 + -33X + 6X2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -33X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -11X + 2X2) = 0 Factor a trinomial. 3((3 + -2X)(4 + -1X)) = 0 Ignore the factor 3.Subproblem 1
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 = 1.5Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Solution
X = {1.5, 4}
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