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Simplifying 4a2b2 + -20ab + 25 = 0 Reorder the terms: 25 + -20ab + 4a2b2 = 0 Solving 25 + -20ab + 4a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -2ab)(5 + -2ab) = 0Subproblem 1
Set the factor '(5 + -2ab)' equal to zero and attempt to solve: Simplifying 5 + -2ab = 0 Solving 5 + -2ab = 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 + -2ab = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2ab = 0 + -5 -2ab = 0 + -5 Combine like terms: 0 + -5 = -5 -2ab = -5 Divide each side by '-2b'. a = 2.5b-1 Simplifying a = 2.5b-1Subproblem 2
Set the factor '(5 + -2ab)' equal to zero and attempt to solve: Simplifying 5 + -2ab = 0 Solving 5 + -2ab = 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 + -2ab = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2ab = 0 + -5 -2ab = 0 + -5 Combine like terms: 0 + -5 = -5 -2ab = -5 Divide each side by '-2b'. a = 2.5b-1 Simplifying a = 2.5b-1Solution
a = {2.5b-1, 2.5b-1}
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