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Simplifying 21a2 + -114a = 72 Reorder the terms: -114a + 21a2 = 72 Solving -114a + 21a2 = 72 Solving for variable 'a'. Reorder the terms: -72 + -114a + 21a2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -114a + 21a2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -38a + 7a2) = 0 Factor a trinomial. 3((-4 + -7a)(6 + -1a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -7a)' equal to zero and attempt to solve: Simplifying -4 + -7a = 0 Solving -4 + -7a = 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 + -7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7a = 0 + 4 -7a = 0 + 4 Combine like terms: 0 + 4 = 4 -7a = 4 Divide each side by '-7'. a = -0.5714285714 Simplifying a = -0.5714285714Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 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 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Solution
a = {-0.5714285714, 6}
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