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Simplifying
(4n + -7)(4n + 7) = 0
Reorder the terms:
(-7 + 4n)(4n + 7) = 0
Reorder the terms:
(-7 + 4n)(7 + 4n) = 0
Multiply (-7 + 4n) * (7 + 4n)
(-7(7 + 4n) + 4n * (7 + 4n)) = 0
((7 * -7 + 4n * -7) + 4n * (7 + 4n)) = 0
((-49 + -28n) + 4n * (7 + 4n)) = 0
(-49 + -28n + (7 * 4n + 4n * 4n)) = 0
(-49 + -28n + (28n + 16n2)) = 0
Combine like terms: -28n + 28n = 0
(-49 + 0 + 16n2) = 0
(-49 + 16n2) = 0
Solving
-49 + 16n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16n2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16n2 = 0 + 49
16n2 = 0 + 49
Combine like terms: 0 + 49 = 49
16n2 = 49
Divide each side by '16'.
n2 = 3.0625
Simplifying
n2 = 3.0625
Take the square root of each side:
n = {-1.75, 1.75}
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