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Simplifying (2a + -5)(2a + -5) = 0 Reorder the terms: (-5 + 2a)(2a + -5) = 0 Reorder the terms: (-5 + 2a)(-5 + 2a) = 0 Multiply (-5 + 2a) * (-5 + 2a) (-5(-5 + 2a) + 2a * (-5 + 2a)) = 0 ((-5 * -5 + 2a * -5) + 2a * (-5 + 2a)) = 0 ((25 + -10a) + 2a * (-5 + 2a)) = 0 (25 + -10a + (-5 * 2a + 2a * 2a)) = 0 (25 + -10a + (-10a + 4a2)) = 0 Combine like terms: -10a + -10a = -20a (25 + -20a + 4a2) = 0 Solving 25 + -20a + 4a2 = 0 Solving for variable 'a'. 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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