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Simplifying (6a + -7)(6a + -7) = 0 Reorder the terms: (-7 + 6a)(6a + -7) = 0 Reorder the terms: (-7 + 6a)(-7 + 6a) = 0 Multiply (-7 + 6a) * (-7 + 6a) (-7(-7 + 6a) + 6a * (-7 + 6a)) = 0 ((-7 * -7 + 6a * -7) + 6a * (-7 + 6a)) = 0 ((49 + -42a) + 6a * (-7 + 6a)) = 0 (49 + -42a + (-7 * 6a + 6a * 6a)) = 0 (49 + -42a + (-42a + 36a2)) = 0 Combine like terms: -42a + -42a = -84a (49 + -84a + 36a2) = 0 Solving 49 + -84a + 36a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + -6a)(7 + -6a) = 0Subproblem 1
Set the factor '(7 + -6a)' equal to zero and attempt to solve: Simplifying 7 + -6a = 0 Solving 7 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = 0 + -7 -6a = 0 + -7 Combine like terms: 0 + -7 = -7 -6a = -7 Divide each side by '-6'. a = 1.166666667 Simplifying a = 1.166666667Subproblem 2
Set the factor '(7 + -6a)' equal to zero and attempt to solve: Simplifying 7 + -6a = 0 Solving 7 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = 0 + -7 -6a = 0 + -7 Combine like terms: 0 + -7 = -7 -6a = -7 Divide each side by '-6'. a = 1.166666667 Simplifying a = 1.166666667Solution
a = {1.166666667, 1.166666667}
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