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Simplifying 0 = 4a2 + -20a + 25 Reorder the terms: 0 = 25 + -20a + 4a2 Solving 0 = 25 + -20a + 4a2 Solving for variable 'a'. Combine like terms: 0 + -25 = -25 -25 + 20a + -4a2 = 25 + -20a + 4a2 + -25 + 20a + -4a2 Reorder the terms: -25 + 20a + -4a2 = 25 + -25 + -20a + 20a + 4a2 + -4a2 Combine like terms: 25 + -25 = 0 -25 + 20a + -4a2 = 0 + -20a + 20a + 4a2 + -4a2 -25 + 20a + -4a2 = -20a + 20a + 4a2 + -4a2 Combine like terms: -20a + 20a = 0 -25 + 20a + -4a2 = 0 + 4a2 + -4a2 -25 + 20a + -4a2 = 4a2 + -4a2 Combine like terms: 4a2 + -4a2 = 0 -25 + 20a + -4a2 = 0 Factor a trinomial. (-5 + 2a)(5 + -2a) = 0Subproblem 1
Set the factor '(-5 + 2a)' equal to zero and attempt to solve: Simplifying -5 + 2a = 0 Solving -5 + 2a = 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 + 2a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 0 + 5 2a = 0 + 5 Combine like terms: 0 + 5 = 5 2a = 5 Divide each side by '2'. a = 2.5 Simplifying a = 2.5Subproblem 2
Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 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 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Solution
a = {2.5, 2.5}
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