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Simplifying (-4a + 7)(-4a + 7) = 0 Reorder the terms: (7 + -4a)(-4a + 7) = 0 Reorder the terms: (7 + -4a)(7 + -4a) = 0 Multiply (7 + -4a) * (7 + -4a) (7(7 + -4a) + -4a * (7 + -4a)) = 0 ((7 * 7 + -4a * 7) + -4a * (7 + -4a)) = 0 ((49 + -28a) + -4a * (7 + -4a)) = 0 (49 + -28a + (7 * -4a + -4a * -4a)) = 0 (49 + -28a + (-28a + 16a2)) = 0 Combine like terms: -28a + -28a = -56a (49 + -56a + 16a2) = 0 Solving 49 + -56a + 16a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + -4a)(7 + -4a) = 0Subproblem 1
Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 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 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75Subproblem 2
Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 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 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75Solution
a = {1.75, 1.75}
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