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Simplifying a(a + -4) + -4(a + -4) = 0 Reorder the terms: a(-4 + a) + -4(a + -4) = 0 (-4 * a + a * a) + -4(a + -4) = 0 (-4a + a2) + -4(a + -4) = 0 Reorder the terms: -4a + a2 + -4(-4 + a) = 0 -4a + a2 + (-4 * -4 + a * -4) = 0 -4a + a2 + (16 + -4a) = 0 Reorder the terms: 16 + -4a + -4a + a2 = 0 Combine like terms: -4a + -4a = -8a 16 + -8a + a2 = 0 Solving 16 + -8a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -1a)(4 + -1a) = 0Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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