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Simplifying 7a2 + 8a + 1 = 0 Reorder the terms: 1 + 8a + 7a2 = 0 Solving 1 + 8a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + a)(1 + 7a) = 0Subproblem 1
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Subproblem 2
Set the factor '(1 + 7a)' equal to zero and attempt to solve: Simplifying 1 + 7a = 0 Solving 1 + 7a = 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 + 7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 0 + -1 7a = 0 + -1 Combine like terms: 0 + -1 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429Solution
a = {-1, -0.1428571429}
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