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Simplifying 5a3 + -25a + 15a = 0 Reorder the terms: -25a + 15a + 5a3 = 0 Combine like terms: -25a + 15a = -10a -10a + 5a3 = 0 Solving -10a + 5a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-2 + 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 '(-2 + a2)' equal to zero and attempt to solve: Simplifying -2 + a2 = 0 Solving -2 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a2 = 0 + 2 a2 = 0 + 2 Combine like terms: 0 + 2 = 2 a2 = 2 Simplifying a2 = 2 Take the square root of each side: a = {-1.414213562, 1.414213562}Solution
a = {0, -1.414213562, 1.414213562}
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