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Simplifying (2a + -7)(2a + -7) = 0 Reorder the terms: (-7 + 2a)(2a + -7) = 0 Reorder the terms: (-7 + 2a)(-7 + 2a) = 0 Multiply (-7 + 2a) * (-7 + 2a) (-7(-7 + 2a) + 2a * (-7 + 2a)) = 0 ((-7 * -7 + 2a * -7) + 2a * (-7 + 2a)) = 0 ((49 + -14a) + 2a * (-7 + 2a)) = 0 (49 + -14a + (-7 * 2a + 2a * 2a)) = 0 (49 + -14a + (-14a + 4a2)) = 0 Combine like terms: -14a + -14a = -28a (49 + -28a + 4a2) = 0 Solving 49 + -28a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + -2a)(7 + -2a) = 0Subproblem 1
Set the factor '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 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 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5Subproblem 2
Set the factor '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 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 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5Solution
a = {3.5, 3.5}
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