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Simplifying 7a2 = 56a Solving 7a2 = 56a Solving for variable 'a'. Reorder the terms: -56a + 7a2 = 56a + -56a Combine like terms: 56a + -56a = 0 -56a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), '7a'. 7a(-8 + a) = 0 Ignore the factor 7.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 + a)' equal to zero and attempt to solve: Simplifying -8 + a = 0 Solving -8 + a = 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 + a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a = 0 + 8 a = 0 + 8 Combine like terms: 0 + 8 = 8 a = 8 Simplifying a = 8Solution
a = {0, 8}
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