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Simplifying 7a(4a + a) = (a + a) Combine like terms: 4a + a = 5a 7a(5a) = (a + a) Remove parenthesis around (5a) 7a * 5a = (a + a) Reorder the terms for easier multiplication: 7 * 5a * a = (a + a) Multiply 7 * 5 35a * a = (a + a) Multiply a * a 35a2 = (a + a) Combine like terms: a + a = 2a 35a2 = (2a) 35a2 = (2a) Solving 35a2 = (2a) Solving for variable 'a'. Reorder the terms: (-2a) + 35a2 = (2a) + (-2a) Combine like terms: (2a) + (-2a) = 0 (-2a) + 35a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-2 + 35a) = 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 + 35a)' equal to zero and attempt to solve: Simplifying -2 + 35a = 0 Solving -2 + 35a = 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 + 35a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 35a = 0 + 2 35a = 0 + 2 Combine like terms: 0 + 2 = 2 35a = 2 Divide each side by '35'. a = 0.05714285714 Simplifying a = 0.05714285714Solution
a = {0, 0.05714285714}
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