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Simplifying 3a3 + 12a + -63a = 0 Reorder the terms: 12a + -63a + 3a3 = 0 Combine like terms: 12a + -63a = -51a -51a + 3a3 = 0 Solving -51a + 3a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-17 + a2) = 0 Ignore the factor 3.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 '(-17 + a2)' equal to zero and attempt to solve: Simplifying -17 + a2 = 0 Solving -17 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + a2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + a2 = 0 + 17 a2 = 0 + 17 Combine like terms: 0 + 17 = 17 a2 = 17 Simplifying a2 = 17 Take the square root of each side: a = {-4.123105626, 4.123105626}Solution
a = {0, -4.123105626, 4.123105626}
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