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Simplifying 3a2 + 21a2 + -90a = 0 Reorder the terms: -90a + 3a2 + 21a2 = 0 Combine like terms: 3a2 + 21a2 = 24a2 -90a + 24a2 = 0 Solving -90a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-15 + 4a) = 0 Ignore the factor 6.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 '(-15 + 4a)' equal to zero and attempt to solve: Simplifying -15 + 4a = 0 Solving -15 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 0 + 15 4a = 0 + 15 Combine like terms: 0 + 15 = 15 4a = 15 Divide each side by '4'. a = 3.75 Simplifying a = 3.75Solution
a = {0, 3.75}
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