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Simplifying 7a3 + 22a2 + 3a = 0 Reorder the terms: 3a + 22a2 + 7a3 = 0 Solving 3a + 22a2 + 7a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(3 + 22a + 7a2) = 0 Factor a trinomial. a((3 + a)(1 + 7a)) = 0Subproblem 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 '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 3
Set the factor '(1 + 7a)' equal to zero and attempt to solve: Simplifying 1 + 7a = 0 Solving 1 + 7a = 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 + 7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 0 + -1 7a = 0 + -1 Combine like terms: 0 + -1 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429Solution
a = {0, -3, -0.1428571429}
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