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