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Simplifying 7a2 + -1a + -6 = -2a Reorder the terms: -6 + -1a + 7a2 = -2a Solving -6 + -1a + 7a2 = -2a Solving for variable 'a'. Reorder the terms: -6 + -1a + 2a + 7a2 = -2a + 2a Combine like terms: -1a + 2a = 1a -6 + 1a + 7a2 = -2a + 2a Combine like terms: -2a + 2a = 0 -6 + 1a + 7a2 = 0 Factor a trinomial. (-1 + -1a)(6 + -7a) = 0Subproblem 1
Set the factor '(-1 + -1a)' equal to zero and attempt to solve: Simplifying -1 + -1a = 0 Solving -1 + -1a = 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 + -1a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a = 0 + 1 -1a = 0 + 1 Combine like terms: 0 + 1 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1Subproblem 2
Set the factor '(6 + -7a)' equal to zero and attempt to solve: Simplifying 6 + -7a = 0 Solving 6 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7a = 0 + -6 -7a = 0 + -6 Combine like terms: 0 + -6 = -6 -7a = -6 Divide each side by '-7'. a = 0.8571428571 Simplifying a = 0.8571428571Solution
a = {-1, 0.8571428571}
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