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Simplifying 36X2 + 272X + -128 = 0 Reorder the terms: -128 + 272X + 36X2 = 0 Solving -128 + 272X + 36X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(-32 + 68X + 9X2) = 0 Factor a trinomial. 4((-8 + -1X)(4 + -9X)) = 0 Ignore the factor 4.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 '(4 + -9X)' equal to zero and attempt to solve: Simplifying 4 + -9X = 0 Solving 4 + -9X = 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 + -9X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9X = 0 + -4 -9X = 0 + -4 Combine like terms: 0 + -4 = -4 -9X = -4 Divide each side by '-9'. X = 0.4444444444 Simplifying X = 0.4444444444Solution
X = {-8, 0.4444444444}
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