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Simplifying a2 + 225 = 30a Reorder the terms: 225 + a2 = 30a Solving 225 + a2 = 30a Solving for variable 'a'. Reorder the terms: 225 + -30a + a2 = 30a + -30a Combine like terms: 30a + -30a = 0 225 + -30a + a2 = 0 Factor a trinomial. (15 + -1a)(15 + -1a) = 0Subproblem 1
Set the factor '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15Subproblem 2
Set the factor '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15Solution
a = {15, 15}
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