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Simplifying 48X2 + -118X + 72 = 0 Reorder the terms: 72 + -118X + 48X2 = 0 Solving 72 + -118X + 48X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + -59X + 24X2) = 0 Factor a trinomial. 2((9 + -8X)(4 + -3X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -8X)' equal to zero and attempt to solve: Simplifying 9 + -8X = 0 Solving 9 + -8X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8X = 0 + -9 -8X = 0 + -9 Combine like terms: 0 + -9 = -9 -8X = -9 Divide each side by '-8'. X = 1.125 Simplifying X = 1.125Subproblem 2
Set the factor '(4 + -3X)' equal to zero and attempt to solve: Simplifying 4 + -3X = 0 Solving 4 + -3X = 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 + -3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3X = 0 + -4 -3X = 0 + -4 Combine like terms: 0 + -4 = -4 -3X = -4 Divide each side by '-3'. X = 1.333333333 Simplifying X = 1.333333333Solution
X = {1.125, 1.333333333}
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