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Simplifying 150a2 = 750a Solving 150a2 = 750a Solving for variable 'a'. Reorder the terms: -750a + 150a2 = 750a + -750a Combine like terms: 750a + -750a = 0 -750a + 150a2 = 0 Factor out the Greatest Common Factor (GCF), '150a'. 150a(-5 + a) = 0 Ignore the factor 150.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 '(-5 + a)' equal to zero and attempt to solve: Simplifying -5 + a = 0 Solving -5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a = 0 + 5 a = 0 + 5 Combine like terms: 0 + 5 = 5 a = 5 Simplifying a = 5Solution
a = {0, 5}
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