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Simplifying 6a2 + a + -121 = 5 Reorder the terms: -121 + a + 6a2 = 5 Solving -121 + a + 6a2 = 5 Solving for variable 'a'. Reorder the terms: -121 + -5 + a + 6a2 = 5 + -5 Combine like terms: -121 + -5 = -126 -126 + a + 6a2 = 5 + -5 Combine like terms: 5 + -5 = 0 -126 + a + 6a2 = 0 Factor a trinomial. (-14 + -3a)(9 + -2a) = 0Subproblem 1
Set the factor '(-14 + -3a)' equal to zero and attempt to solve: Simplifying -14 + -3a = 0 Solving -14 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3a = 0 + 14 -3a = 0 + 14 Combine like terms: 0 + 14 = 14 -3a = 14 Divide each side by '-3'. a = -4.666666667 Simplifying a = -4.666666667Subproblem 2
Set the factor '(9 + -2a)' equal to zero and attempt to solve: Simplifying 9 + -2a = 0 Solving 9 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 0 + -9 -2a = 0 + -9 Combine like terms: 0 + -9 = -9 -2a = -9 Divide each side by '-2'. a = 4.5 Simplifying a = 4.5Solution
a = {-4.666666667, 4.5}
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