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Simplifying (16a2) + -300a = 0 Reorder the terms: -300a + (16a2) = 0 Solving -300a + (16a2) = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-75 + (4a)) = 0 Ignore the factor 4.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 '(-75 + (4a))' equal to zero and attempt to solve: Simplifying -75 + (4a) = 0 Solving -75 + (4a) = 0 Move all terms containing a to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + (4a) = 0 + 75 Combine like terms: -75 + 75 = 0 0 + (4a) = 0 + 75 (4a) = 0 + 75 Combine like terms: 0 + 75 = 75 (4a) = 75 Divide each side by '4'. a = 18.75 Simplifying a = 18.75Solution
a = {0, 18.75}
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