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Simplifying -60a + 20a + 5a3 = 0 Combine like terms: -60a + 20a = -40a -40a + 5a3 = 0 Solving -40a + 5a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-8 + a2) = 0 Ignore the factor 5.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 '(-8 + a2)' equal to zero and attempt to solve: Simplifying -8 + a2 = 0 Solving -8 + a2 = 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 + a2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a2 = 0 + 8 a2 = 0 + 8 Combine like terms: 0 + 8 = 8 a2 = 8 Simplifying a2 = 8 Take the square root of each side: a = {-2.828427125, 2.828427125}Solution
a = {0, -2.828427125, 2.828427125}
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