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Simplifying (a + -3)(a + 2) = -2a Reorder the terms: (-3 + a)(a + 2) = -2a Reorder the terms: (-3 + a)(2 + a) = -2a Multiply (-3 + a) * (2 + a) (-3(2 + a) + a(2 + a)) = -2a ((2 * -3 + a * -3) + a(2 + a)) = -2a ((-6 + -3a) + a(2 + a)) = -2a (-6 + -3a + (2 * a + a * a)) = -2a (-6 + -3a + (2a + a2)) = -2a Combine like terms: -3a + 2a = -1a (-6 + -1a + a2) = -2a Solving -6 + -1a + a2 = -2a Solving for variable 'a'. Reorder the terms: -6 + -1a + 2a + a2 = -2a + 2a Combine like terms: -1a + 2a = 1a -6 + 1a + a2 = -2a + 2a Combine like terms: -2a + 2a = 0 -6 + 1a + a2 = 0 Factor a trinomial. (-3 + -1a)(2 + -1a) = 0Subproblem 1
Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 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 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {-3, 2}
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