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Simplifying 9a4 + 45a3 + 56a2 = 0 Reorder the terms: 56a2 + 45a3 + 9a4 = 0 Solving 56a2 + 45a3 + 9a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(56 + 45a + 9a2) = 0 Factor a trinomial. a2((8 + 3a)(7 + 3a)) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(8 + 3a)' equal to zero and attempt to solve: Simplifying 8 + 3a = 0 Solving 8 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 0 + -8 3a = 0 + -8 Combine like terms: 0 + -8 = -8 3a = -8 Divide each side by '3'. a = -2.666666667 Simplifying a = -2.666666667Subproblem 3
Set the factor '(7 + 3a)' equal to zero and attempt to solve: Simplifying 7 + 3a = 0 Solving 7 + 3a = 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 + 3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 0 + -7 3a = 0 + -7 Combine like terms: 0 + -7 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333Solution
a = {0, -2.666666667, -2.333333333}
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