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Simplifying 35 = a(a + -2) Reorder the terms: 35 = a(-2 + a) 35 = (-2 * a + a * a) 35 = (-2a + a2) Solving 35 = -2a + a2 Solving for variable 'a'. Reorder the terms: 35 + 2a + -1a2 = -2a + 2a + a2 + -1a2 Combine like terms: -2a + 2a = 0 35 + 2a + -1a2 = 0 + a2 + -1a2 35 + 2a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 35 + 2a + -1a2 = 0 Factor a trinomial. (7 + -1a)(5 + a) = 0Subproblem 1
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {7, -5}
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