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Simplifying (a(a + -2))(a + -2) = 0 Reorder the terms: (a(-2 + a))(a + -2) = 0 ((-2 * a + a * a))(a + -2) = 0 ((-2a + a2))(a + -2) = 0 Reorder the terms: (-2a + a2)(-2 + a) = 0 Multiply (-2a + a2) * (-2 + a) (-2a * (-2 + a) + a2(-2 + a)) = 0 ((-2 * -2a + a * -2a) + a2(-2 + a)) = 0 ((4a + -2a2) + a2(-2 + a)) = 0 (4a + -2a2 + (-2 * a2 + a * a2)) = 0 (4a + -2a2 + (-2a2 + a3)) = 0 Combine like terms: -2a2 + -2a2 = -4a2 (4a + -4a2 + a3) = 0 Solving 4a + -4a2 + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(4 + -4a + a2) = 0 Factor a trinomial. a((2 + -1a)(2 + -1a)) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 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 = 2Subproblem 3
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 = {0, 2, 2}
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