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Simplifying 14a2 + 9a2 + -207a = 0 Reorder the terms: -207a + 14a2 + 9a2 = 0 Combine like terms: 14a2 + 9a2 = 23a2 -207a + 23a2 = 0 Solving -207a + 23a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '23a'. 23a(-9 + a) = 0 Ignore the factor 23.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 '(-9 + a)' equal to zero and attempt to solve: Simplifying -9 + a = 0 Solving -9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + a = 0 + 9 a = 0 + 9 Combine like terms: 0 + 9 = 9 a = 9 Simplifying a = 9Solution
a = {0, 9}
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