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Simplifying (4 + -5a)(4 + -5a) = 0 Multiply (4 + -5a) * (4 + -5a) (4(4 + -5a) + -5a * (4 + -5a)) = 0 ((4 * 4 + -5a * 4) + -5a * (4 + -5a)) = 0 ((16 + -20a) + -5a * (4 + -5a)) = 0 (16 + -20a + (4 * -5a + -5a * -5a)) = 0 (16 + -20a + (-20a + 25a2)) = 0 Combine like terms: -20a + -20a = -40a (16 + -40a + 25a2) = 0 Solving 16 + -40a + 25a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -5a)(4 + -5a) = 0Subproblem 1
Set the factor '(4 + -5a)' equal to zero and attempt to solve: Simplifying 4 + -5a = 0 Solving 4 + -5a = 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 + -5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 0 + -4 -5a = 0 + -4 Combine like terms: 0 + -4 = -4 -5a = -4 Divide each side by '-5'. a = 0.8 Simplifying a = 0.8Subproblem 2
Set the factor '(4 + -5a)' equal to zero and attempt to solve: Simplifying 4 + -5a = 0 Solving 4 + -5a = 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 + -5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 0 + -4 -5a = 0 + -4 Combine like terms: 0 + -4 = -4 -5a = -4 Divide each side by '-5'. a = 0.8 Simplifying a = 0.8Solution
a = {0.8, 0.8}
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