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Simplifying 4a2 = 9a Solving 4a2 = 9a Solving for variable 'a'. Reorder the terms: -9a + 4a2 = 9a + -9a Combine like terms: 9a + -9a = 0 -9a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-9 + 4a) = 0Subproblem 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 '(-9 + 4a)' equal to zero and attempt to solve: Simplifying -9 + 4a = 0 Solving -9 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4a = 0 + 9 4a = 0 + 9 Combine like terms: 0 + 9 = 9 4a = 9 Divide each side by '4'. a = 2.25 Simplifying a = 2.25Solution
a = {0, 2.25}
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