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Simplifying 42a2 + -29a + -5 = 0 Reorder the terms: -5 + -29a + 42a2 = 0 Solving -5 + -29a + 42a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -7a)(5 + -6a) = 0Subproblem 1
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 = -0.1428571429Subproblem 2
Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333Solution
a = {-0.1428571429, 0.8333333333}
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