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Simplifying 7a2 = 175a Solving 7a2 = 175a Solving for variable 'a'. Reorder the terms: -175a + 7a2 = 175a + -175a Combine like terms: 175a + -175a = 0 -175a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), '7a'. 7a(-25 + 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 '(-25 + a)' equal to zero and attempt to solve: Simplifying -25 + a = 0 Solving -25 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + a = 0 + 25 Combine like terms: -25 + 25 = 0 0 + a = 0 + 25 a = 0 + 25 Combine like terms: 0 + 25 = 25 a = 25 Simplifying a = 25Solution
a = {0, 25}
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