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Simplifying 0 = 16a2 + -40a + 25 Reorder the terms: 0 = 25 + -40a + 16a2 Solving 0 = 25 + -40a + 16a2 Solving for variable 'a'. Combine like terms: 0 + -25 = -25 -25 + 40a + -16a2 = 25 + -40a + 16a2 + -25 + 40a + -16a2 Reorder the terms: -25 + 40a + -16a2 = 25 + -25 + -40a + 40a + 16a2 + -16a2 Combine like terms: 25 + -25 = 0 -25 + 40a + -16a2 = 0 + -40a + 40a + 16a2 + -16a2 -25 + 40a + -16a2 = -40a + 40a + 16a2 + -16a2 Combine like terms: -40a + 40a = 0 -25 + 40a + -16a2 = 0 + 16a2 + -16a2 -25 + 40a + -16a2 = 16a2 + -16a2 Combine like terms: 16a2 + -16a2 = 0 -25 + 40a + -16a2 = 0 Factor a trinomial. (-5 + 4a)(5 + -4a) = 0Subproblem 1
Set the factor '(-5 + 4a)' equal to zero and attempt to solve: Simplifying -5 + 4a = 0 Solving -5 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = 0 + 5 4a = 0 + 5 Combine like terms: 0 + 5 = 5 4a = 5 Divide each side by '4'. a = 1.25 Simplifying a = 1.25Subproblem 2
Set the factor '(5 + -4a)' equal to zero and attempt to solve: Simplifying 5 + -4a = 0 Solving 5 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = 0 + -5 -4a = 0 + -5 Combine like terms: 0 + -5 = -5 -4a = -5 Divide each side by '-4'. a = 1.25 Simplifying a = 1.25Solution
a = {1.25, 1.25}
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