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Simplifying 7a2 + 55a + -8 = 0 Reorder the terms: -8 + 55a + 7a2 = 0 Solving -8 + 55a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -1a)(1 + -7a) = 0Subproblem 1
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 = -8Subproblem 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 = {-8, 0.1428571429}
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