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Simplifying 12a3 + -16a = 0 Reorder the terms: -16a + 12a3 = 0 Solving -16a + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-4 + 3a2) = 0 Ignore the factor 4.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 '(-4 + 3a2)' equal to zero and attempt to solve: Simplifying -4 + 3a2 = 0 Solving -4 + 3a2 = 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 + 3a2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a2 = 0 + 4 3a2 = 0 + 4 Combine like terms: 0 + 4 = 4 3a2 = 4 Divide each side by '3'. a2 = 1.333333333 Simplifying a2 = 1.333333333 Take the square root of each side: a = {-1.154700538, 1.154700538}Solution
a = {0, -1.154700538, 1.154700538}
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