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Simplifying 3a2 + 8a + 0 = 0 Reorder the terms: 0 + 8a + 3a2 = 0 Remove the zero: 8a + 3a2 = 0 Solving 8a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(8 + 3a) = 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 '(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 = -2.666666667Solution
a = {0, -2.666666667}
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