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Simplifying -1a2 = 121 + -22a Solving -1a2 = 121 + -22a Solving for variable 'a'. Reorder the terms: -121 + 22a + -1a2 = 121 + -22a + -121 + 22a Reorder the terms: -121 + 22a + -1a2 = 121 + -121 + -22a + 22a Combine like terms: 121 + -121 = 0 -121 + 22a + -1a2 = 0 + -22a + 22a -121 + 22a + -1a2 = -22a + 22a Combine like terms: -22a + 22a = 0 -121 + 22a + -1a2 = 0 Factor a trinomial. (-11 + a)(11 + -1a) = 0Subproblem 1
Set the factor '(-11 + a)' equal to zero and attempt to solve: Simplifying -11 + a = 0 Solving -11 + a = 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 + a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + a = 0 + 11 a = 0 + 11 Combine like terms: 0 + 11 = 11 a = 11 Simplifying a = 11Subproblem 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 = {11, 11}
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