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Simplifying 7a = a(a + -10) Reorder the terms: 7a = a(-10 + a) 7a = (-10 * a + a * a) 7a = (-10a + a2) Solving 7a = -10a + a2 Solving for variable 'a'. Combine like terms: 7a + 10a = 17a 17a + -1a2 = -10a + a2 + 10a + -1a2 Reorder the terms: 17a + -1a2 = -10a + 10a + a2 + -1a2 Combine like terms: -10a + 10a = 0 17a + -1a2 = 0 + a2 + -1a2 17a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 17a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(17 + -1a) = 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 '(17 + -1a)' equal to zero and attempt to solve: Simplifying 17 + -1a = 0 Solving 17 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1a = 0 + -17 -1a = 0 + -17 Combine like terms: 0 + -17 = -17 -1a = -17 Divide each side by '-1'. a = 17 Simplifying a = 17Solution
a = {0, 17}
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