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Simplifying 70a2 + 3a + -1 = 0 Reorder the terms: -1 + 3a + 70a2 = 0 Solving -1 + 3a + 70a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -7a)(1 + -10a) = 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 '(1 + -10a)' equal to zero and attempt to solve: Simplifying 1 + -10a = 0 Solving 1 + -10a = 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 + -10a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10a = 0 + -1 -10a = 0 + -1 Combine like terms: 0 + -1 = -1 -10a = -1 Divide each side by '-10'. a = 0.1 Simplifying a = 0.1Solution
a = {-0.1428571429, 0.1}
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