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Simplifying 60a3 + -294a2 + 216a = 0 Reorder the terms: 216a + -294a2 + 60a3 = 0 Solving 216a + -294a2 + 60a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(36 + -49a + 10a2) = 0 Factor a trinomial. 6a((9 + -10a)(4 + -1a)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(9 + -10a)' equal to zero and attempt to solve: Simplifying 9 + -10a = 0 Solving 9 + -10a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10a = 0 + -9 -10a = 0 + -9 Combine like terms: 0 + -9 = -9 -10a = -9 Divide each side by '-10'. a = 0.9 Simplifying a = 0.9Subproblem 3
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, 0.9, 4}
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