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Simplifying 0 = 9a2 + -4a Reorder the terms: 0 = -4a + 9a2 Solving 0 = -4a + 9a2 Solving for variable 'a'. Remove the zero: 4a + -9a2 = -4a + 9a2 + 4a + -9a2 Reorder the terms: 4a + -9a2 = -4a + 4a + 9a2 + -9a2 Combine like terms: -4a + 4a = 0 4a + -9a2 = 0 + 9a2 + -9a2 4a + -9a2 = 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 4a + -9a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(4 + -9a) = 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 '(4 + -9a)' equal to zero and attempt to solve: Simplifying 4 + -9a = 0 Solving 4 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9a = 0 + -4 -9a = 0 + -4 Combine like terms: 0 + -4 = -4 -9a = -4 Divide each side by '-9'. a = 0.4444444444 Simplifying a = 0.4444444444Solution
a = {0, 0.4444444444}
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