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Simplifying 36a2 + -44a + -56 = 0 Reorder the terms: -56 + -44a + 36a2 = 0 Solving -56 + -44a + 36a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + -11a + 9a2) = 0 Factor a trinomial. 4((-7 + -9a)(2 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -9a)' equal to zero and attempt to solve: Simplifying -7 + -9a = 0 Solving -7 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9a = 0 + 7 -9a = 0 + 7 Combine like terms: 0 + 7 = 7 -9a = 7 Divide each side by '-9'. a = -0.7777777778 Simplifying a = -0.7777777778Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {-0.7777777778, 2}
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