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Simplifying 21a2 + -66a + -72 = 0 Reorder the terms: -72 + -66a + 21a2 = 0 Solving -72 + -66a + 21a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -22a + 7a2) = 0 Factor a trinomial. 3((-6 + -7a)(4 + -1a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -7a)' equal to zero and attempt to solve: Simplifying -6 + -7a = 0 Solving -6 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = 0 + 6 -7a = 0 + 6 Combine like terms: 0 + 6 = 6 -7a = 6 Divide each side by '-7'. a = -0.8571428571 Simplifying a = -0.8571428571Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {-0.8571428571, 4}
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