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Simplifying (5a + -4)(4 + -5a) = 0 Reorder the terms: (-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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