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Simplifying 7a = 2a(a + -10) Reorder the terms: 7a = 2a(-10 + a) 7a = (-10 * 2a + a * 2a) 7a = (-20a + 2a2) Solving 7a = -20a + 2a2 Solving for variable 'a'. Combine like terms: 7a + 20a = 27a 27a + -2a2 = -20a + 2a2 + 20a + -2a2 Reorder the terms: 27a + -2a2 = -20a + 20a + 2a2 + -2a2 Combine like terms: -20a + 20a = 0 27a + -2a2 = 0 + 2a2 + -2a2 27a + -2a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 27a + -2a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(27 + -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 '(27 + -2a)' equal to zero and attempt to solve: Simplifying 27 + -2a = 0 Solving 27 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2a = 0 + -27 -2a = 0 + -27 Combine like terms: 0 + -27 = -27 -2a = -27 Divide each side by '-2'. a = 13.5 Simplifying a = 13.5Solution
a = {0, 13.5}
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