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Simplifying 42a2 + -43a + 6 = 0 Reorder the terms: 6 + -43a + 42a2 = 0 Solving 6 + -43a + 42a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -6a)(6 + -7a) = 0Subproblem 1
Set the factor '(1 + -6a)' equal to zero and attempt to solve: Simplifying 1 + -6a = 0 Solving 1 + -6a = 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 + -6a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 0 + -1 -6a = 0 + -1 Combine like terms: 0 + -1 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667Subproblem 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 = {0.1666666667, 0.8571428571}
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