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Simplifying a(26 + -1a) = 165 (26 * a + -1a * a) = 165 (26a + -1a2) = 165 Solving 26a + -1a2 = 165 Solving for variable 'a'. Reorder the terms: -165 + 26a + -1a2 = 165 + -165 Combine like terms: 165 + -165 = 0 -165 + 26a + -1a2 = 0 Factor a trinomial. (-15 + a)(11 + -1a) = 0Subproblem 1
Set the factor '(-15 + a)' equal to zero and attempt to solve: Simplifying -15 + a = 0 Solving -15 + a = 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 + a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + a = 0 + 15 a = 0 + 15 Combine like terms: 0 + 15 = 15 a = 15 Simplifying a = 15Subproblem 2
Set the factor '(11 + -1a)' equal to zero and attempt to solve: Simplifying 11 + -1a = 0 Solving 11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 0 + -11 -1a = 0 + -11 Combine like terms: 0 + -11 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11Solution
a = {15, 11}
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