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Simplifying 4a(5a + -9) = 0 Reorder the terms: 4a(-9 + 5a) = 0 (-9 * 4a + 5a * 4a) = 0 (-36a + 20a2) = 0 Solving -36a + 20a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-9 + 5a) = 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 '(-9 + 5a)' equal to zero and attempt to solve: Simplifying -9 + 5a = 0 Solving -9 + 5a = 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 + 5a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 0 + 9 5a = 0 + 9 Combine like terms: 0 + 9 = 9 5a = 9 Divide each side by '5'. a = 1.8 Simplifying a = 1.8Solution
a = {0, 1.8}
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