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Simplifying 2a * 1a = 41a Reorder the terms for easier multiplication: 2 * 1a * a = 41a Multiply 2 * 1 2a * a = 41a Multiply a * a 2a2 = 41a Solving 2a2 = 41a Solving for variable 'a'. Reorder the terms: -41a + 2a2 = 41a + -41a Combine like terms: 41a + -41a = 0 -41a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-41 + 2a) = 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 '(-41 + 2a)' equal to zero and attempt to solve: Simplifying -41 + 2a = 0 Solving -41 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 2a = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2a = 0 + 41 2a = 0 + 41 Combine like terms: 0 + 41 = 41 2a = 41 Divide each side by '2'. a = 20.5 Simplifying a = 20.5Solution
a = {0, 20.5}
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