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Simplifying -3X2 + 18X = -48 Reorder the terms: 18X + -3X2 = -48 Solving 18X + -3X2 = -48 Solving for variable 'X'. Reorder the terms: 48 + 18X + -3X2 = -48 + 48 Combine like terms: -48 + 48 = 0 48 + 18X + -3X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 6X + -1X2) = 0 Factor a trinomial. 3((8 + -1X)(2 + X)) = 0 Ignore the factor 3.Subproblem 1
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 = 8Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {8, -2}
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