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Simplifying 0 = 25a2 + -20a + 4 Reorder the terms: 0 = 4 + -20a + 25a2 Solving 0 = 4 + -20a + 25a2 Solving for variable 'a'. Combine like terms: 0 + -4 = -4 -4 + 20a + -25a2 = 4 + -20a + 25a2 + -4 + 20a + -25a2 Reorder the terms: -4 + 20a + -25a2 = 4 + -4 + -20a + 20a + 25a2 + -25a2 Combine like terms: 4 + -4 = 0 -4 + 20a + -25a2 = 0 + -20a + 20a + 25a2 + -25a2 -4 + 20a + -25a2 = -20a + 20a + 25a2 + -25a2 Combine like terms: -20a + 20a = 0 -4 + 20a + -25a2 = 0 + 25a2 + -25a2 -4 + 20a + -25a2 = 25a2 + -25a2 Combine like terms: 25a2 + -25a2 = 0 -4 + 20a + -25a2 = 0 Factor a trinomial. (-2 + 5a)(2 + -5a) = 0Subproblem 1
Set the factor '(-2 + 5a)' equal to zero and attempt to solve: Simplifying -2 + 5a = 0 Solving -2 + 5a = 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 + 5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 0 + 2 5a = 0 + 2 Combine like terms: 0 + 2 = 2 5a = 2 Divide each side by '5'. a = 0.4 Simplifying a = 0.4Subproblem 2
Set the factor '(2 + -5a)' equal to zero and attempt to solve: Simplifying 2 + -5a = 0 Solving 2 + -5a = 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 + -5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 0 + -2 -5a = 0 + -2 Combine like terms: 0 + -2 = -2 -5a = -2 Divide each side by '-5'. a = 0.4 Simplifying a = 0.4Solution
a = {0.4, 0.4}
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