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Simplifying (5a + 2)(6a + -1) = 0 Reorder the terms: (2 + 5a)(6a + -1) = 0 Reorder the terms: (2 + 5a)(-1 + 6a) = 0 Multiply (2 + 5a) * (-1 + 6a) (2(-1 + 6a) + 5a * (-1 + 6a)) = 0 ((-1 * 2 + 6a * 2) + 5a * (-1 + 6a)) = 0 ((-2 + 12a) + 5a * (-1 + 6a)) = 0 (-2 + 12a + (-1 * 5a + 6a * 5a)) = 0 (-2 + 12a + (-5a + 30a2)) = 0 Combine like terms: 12a + -5a = 7a (-2 + 7a + 30a2) = 0 Solving -2 + 7a + 30a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -5a)(1 + -6a) = 0Subproblem 1
Set the factor '(-2 + -5a)' equal to zero and attempt to solve: Simplifying -2 + -5a = 0 Solving -2 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 0 + 2 -5a = 0 + 2 Combine like terms: 0 + 2 = 2 -5a = 2 Divide each side by '-5'. a = -0.4 Simplifying a = -0.4Subproblem 2
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 = 0.1666666667Solution
a = {-0.4, 0.1666666667}
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