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Simplifying 40a2 + 11a = 0 Reorder the terms: 11a + 40a2 = 0 Solving 11a + 40a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(11 + 40a) = 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 '(11 + 40a)' equal to zero and attempt to solve: Simplifying 11 + 40a = 0 Solving 11 + 40a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 40a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 40a = 0 + -11 40a = 0 + -11 Combine like terms: 0 + -11 = -11 40a = -11 Divide each side by '40'. a = -0.275 Simplifying a = -0.275Solution
a = {0, -0.275}
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