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Simplifying 2a + 5a * 4a + -1a = 0 Reorder the terms for easier multiplication: 2a + 5 * 4a * a + -1a = 0 Multiply 5 * 4 2a + 20a * a + -1a = 0 Multiply a * a 2a + 20a2 + -1a = 0 Reorder the terms: 2a + -1a + 20a2 = 0 Combine like terms: 2a + -1a = 1a 1a + 20a2 = 0 Solving 1a + 20a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 20a) = 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 '(1 + 20a)' equal to zero and attempt to solve: Simplifying 1 + 20a = 0 Solving 1 + 20a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 20a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 20a = 0 + -1 20a = 0 + -1 Combine like terms: 0 + -1 = -1 20a = -1 Divide each side by '20'. a = -0.05 Simplifying a = -0.05Solution
a = {0, -0.05}
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