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Simplifying 6a3 + 7a2 + 3a3 = 0 Reorder the terms: 7a2 + 6a3 + 3a3 = 0 Combine like terms: 6a3 + 3a3 = 9a3 7a2 + 9a3 = 0 Solving 7a2 + 9a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(7 + 9a) = 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 '(7 + 9a)' equal to zero and attempt to solve: Simplifying 7 + 9a = 0 Solving 7 + 9a = 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 + 9a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = 0 + -7 9a = 0 + -7 Combine like terms: 0 + -7 = -7 9a = -7 Divide each side by '9'. a = -0.7777777778 Simplifying a = -0.7777777778Solution
a = {0, -0.7777777778}
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