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Simplifying (5a2 + -11a + 10) + -1(4a2 + -15a + 6) = 0 Reorder the terms: (10 + -11a + 5a2) + -1(4a2 + -15a + 6) = 0 Remove parenthesis around (10 + -11a + 5a2) 10 + -11a + 5a2 + -1(4a2 + -15a + 6) = 0 Reorder the terms: 10 + -11a + 5a2 + -1(6 + -15a + 4a2) = 0 10 + -11a + 5a2 + (6 * -1 + -15a * -1 + 4a2 * -1) = 0 10 + -11a + 5a2 + (-6 + 15a + -4a2) = 0 Reorder the terms: 10 + -6 + -11a + 15a + 5a2 + -4a2 = 0 Combine like terms: 10 + -6 = 4 4 + -11a + 15a + 5a2 + -4a2 = 0 Combine like terms: -11a + 15a = 4a 4 + 4a + 5a2 + -4a2 = 0 Combine like terms: 5a2 + -4a2 = 1a2 4 + 4a + 1a2 = 0 Solving 4 + 4a + 1a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + a)(2 + a) = 0Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-2, -2}
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