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Simplifying 3X2 + -42X = -144 Reorder the terms: -42X + 3X2 = -144 Solving -42X + 3X2 = -144 Solving for variable 'X'. Reorder the terms: 144 + -42X + 3X2 = -144 + 144 Combine like terms: -144 + 144 = 0 144 + -42X + 3X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(48 + -14X + X2) = 0 Factor a trinomial. 3((6 + -1X)(8 + -1X)) = 0 Ignore the factor 3.Subproblem 1
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 = 6Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {6, 8}
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