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Simplifying (-4a2 + 8a + -3) + (5a2 + -4a + -2) = 0 Reorder the terms: (-3 + 8a + -4a2) + (5a2 + -4a + -2) = 0 Remove parenthesis around (-3 + 8a + -4a2) -3 + 8a + -4a2 + (5a2 + -4a + -2) = 0 Reorder the terms: -3 + 8a + -4a2 + (-2 + -4a + 5a2) = 0 Remove parenthesis around (-2 + -4a + 5a2) -3 + 8a + -4a2 + -2 + -4a + 5a2 = 0 Reorder the terms: -3 + -2 + 8a + -4a + -4a2 + 5a2 = 0 Combine like terms: -3 + -2 = -5 -5 + 8a + -4a + -4a2 + 5a2 = 0 Combine like terms: 8a + -4a = 4a -5 + 4a + -4a2 + 5a2 = 0 Combine like terms: -4a2 + 5a2 = 1a2 -5 + 4a + 1a2 = 0 Solving -5 + 4a + 1a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -1a)(1 + -1a) = 0Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 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 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-5, 1}
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