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Simplifying 28a2 + 16a + -44 = 0 Reorder the terms: -44 + 16a + 28a2 = 0 Solving -44 + 16a + 28a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-11 + 4a + 7a2) = 0 Factor a trinomial. 4((-11 + -7a)(1 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-11 + -7a)' equal to zero and attempt to solve: Simplifying -11 + -7a = 0 Solving -11 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -7a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -7a = 0 + 11 -7a = 0 + 11 Combine like terms: 0 + 11 = 11 -7a = 11 Divide each side by '-7'. a = -1.571428571 Simplifying a = -1.571428571Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-1.571428571, 1}
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