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Simplifying (5a + -6)(5a + -6) = 0 Reorder the terms: (-6 + 5a)(5a + -6) = 0 Reorder the terms: (-6 + 5a)(-6 + 5a) = 0 Multiply (-6 + 5a) * (-6 + 5a) (-6(-6 + 5a) + 5a * (-6 + 5a)) = 0 ((-6 * -6 + 5a * -6) + 5a * (-6 + 5a)) = 0 ((36 + -30a) + 5a * (-6 + 5a)) = 0 (36 + -30a + (-6 * 5a + 5a * 5a)) = 0 (36 + -30a + (-30a + 25a2)) = 0 Combine like terms: -30a + -30a = -60a (36 + -60a + 25a2) = 0 Solving 36 + -60a + 25a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + -5a)(6 + -5a) = 0Subproblem 1
Set the factor '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 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 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2Subproblem 2
Set the factor '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 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 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2Solution
a = {1.2, 1.2}
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