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Simplifying 6a2 = 49a + -8 Reorder the terms: 6a2 = -8 + 49a Solving 6a2 = -8 + 49a Solving for variable 'a'. Reorder the terms: 8 + -49a + 6a2 = -8 + 49a + 8 + -49a Reorder the terms: 8 + -49a + 6a2 = -8 + 8 + 49a + -49a Combine like terms: -8 + 8 = 0 8 + -49a + 6a2 = 0 + 49a + -49a 8 + -49a + 6a2 = 49a + -49a Combine like terms: 49a + -49a = 0 8 + -49a + 6a2 = 0 Factor a trinomial. (1 + -6a)(8 + -1a) = 0Subproblem 1
Set the factor '(1 + -6a)' equal to zero and attempt to solve: Simplifying 1 + -6a = 0 Solving 1 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 0 + -1 -6a = 0 + -1 Combine like terms: 0 + -1 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {0.1666666667, 8}
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