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Simplifying 75a2 = 300a Solving 75a2 = 300a Solving for variable 'a'. Reorder the terms: -300a + 75a2 = 300a + -300a Combine like terms: 300a + -300a = 0 -300a + 75a2 = 0 Factor out the Greatest Common Factor (GCF), '75a'. 75a(-4 + a) = 0 Ignore the factor 75.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 '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Solution
a = {0, 4}
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