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Simplifying 4a3 + -48a = 0 Reorder the terms: -48a + 4a3 = 0 Solving -48a + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-12 + a2) = 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 '(-12 + a2)' equal to zero and attempt to solve: Simplifying -12 + a2 = 0 Solving -12 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + a2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a2 = 0 + 12 a2 = 0 + 12 Combine like terms: 0 + 12 = 12 a2 = 12 Simplifying a2 = 12 Take the square root of each side: a = {-3.464101615, 3.464101615}Solution
a = {0, -3.464101615, 3.464101615}
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