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Simplifying (5ab + -2)(5ab + -2) = 0 Reorder the terms: (-2 + 5ab)(5ab + -2) = 0 Reorder the terms: (-2 + 5ab)(-2 + 5ab) = 0 Multiply (-2 + 5ab) * (-2 + 5ab) (-2(-2 + 5ab) + 5ab * (-2 + 5ab)) = 0 ((-2 * -2 + 5ab * -2) + 5ab * (-2 + 5ab)) = 0 ((4 + -10ab) + 5ab * (-2 + 5ab)) = 0 (4 + -10ab + (-2 * 5ab + 5ab * 5ab)) = 0 (4 + -10ab + (-10ab + 25a2b2)) = 0 Combine like terms: -10ab + -10ab = -20ab (4 + -20ab + 25a2b2) = 0 Solving 4 + -20ab + 25a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -5ab)(2 + -5ab) = 0Subproblem 1
Set the factor '(2 + -5ab)' equal to zero and attempt to solve: Simplifying 2 + -5ab = 0 Solving 2 + -5ab = 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 + -5ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5ab = 0 + -2 -5ab = 0 + -2 Combine like terms: 0 + -2 = -2 -5ab = -2 Divide each side by '-5b'. a = 0.4b-1 Simplifying a = 0.4b-1Subproblem 2
Set the factor '(2 + -5ab)' equal to zero and attempt to solve: Simplifying 2 + -5ab = 0 Solving 2 + -5ab = 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 + -5ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5ab = 0 + -2 -5ab = 0 + -2 Combine like terms: 0 + -2 = -2 -5ab = -2 Divide each side by '-5b'. a = 0.4b-1 Simplifying a = 0.4b-1Solution
a = {0.4b-1, 0.4b-1}
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