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Simplifying 5a2 + 4a + -9 = 2a + -9 Reorder the terms: -9 + 4a + 5a2 = 2a + -9 Reorder the terms: -9 + 4a + 5a2 = -9 + 2a Add '9' to each side of the equation. -9 + 4a + 9 + 5a2 = -9 + 9 + 2a Reorder the terms: -9 + 9 + 4a + 5a2 = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 4a + 5a2 = -9 + 9 + 2a 4a + 5a2 = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 4a + 5a2 = 0 + 2a 4a + 5a2 = 2a Solving 4a + 5a2 = 2a Solving for variable 'a'. Reorder the terms: 4a + -2a + 5a2 = 2a + -2a Combine like terms: 4a + -2a = 2a 2a + 5a2 = 2a + -2a Combine like terms: 2a + -2a = 0 2a + 5a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(2 + 5a) = 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 '(2 + 5a)' equal to zero and attempt to solve: Simplifying 2 + 5a = 0 Solving 2 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 0 + -2 5a = 0 + -2 Combine like terms: 0 + -2 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4Solution
a = {0, -0.4}
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