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Simplifying 5a(9a + -5) = 0 Reorder the terms: 5a(-5 + 9a) = 0 (-5 * 5a + 9a * 5a) = 0 (-25a + 45a2) = 0 Solving -25a + 45a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-5 + 9a) = 0 Ignore the factor 5.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 '(-5 + 9a)' equal to zero and attempt to solve: Simplifying -5 + 9a = 0 Solving -5 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9a = 0 + 5 9a = 0 + 5 Combine like terms: 0 + 5 = 5 9a = 5 Divide each side by '9'. a = 0.5555555556 Simplifying a = 0.5555555556Solution
a = {0, 0.5555555556}
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