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Simplifying a2 + -100a + 2500 = 0 Reorder the terms: 2500 + -100a + a2 = 0 Solving 2500 + -100a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (50 + -1a)(50 + -1a) = 0Subproblem 1
Set the factor '(50 + -1a)' equal to zero and attempt to solve: Simplifying 50 + -1a = 0 Solving 50 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1a = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1a = 0 + -50 -1a = 0 + -50 Combine like terms: 0 + -50 = -50 -1a = -50 Divide each side by '-1'. a = 50 Simplifying a = 50Subproblem 2
Set the factor '(50 + -1a)' equal to zero and attempt to solve: Simplifying 50 + -1a = 0 Solving 50 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1a = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1a = 0 + -50 -1a = 0 + -50 Combine like terms: 0 + -50 = -50 -1a = -50 Divide each side by '-1'. a = 50 Simplifying a = 50Solution
a = {50, 50}
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