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Simplifying
(6 + -5n)(6 + 5n) = 0
Multiply (6 + -5n) * (6 + 5n)
(6(6 + 5n) + -5n * (6 + 5n)) = 0
((6 * 6 + 5n * 6) + -5n * (6 + 5n)) = 0
((36 + 30n) + -5n * (6 + 5n)) = 0
(36 + 30n + (6 * -5n + 5n * -5n)) = 0
(36 + 30n + (-30n + -25n2)) = 0
Combine like terms: 30n + -30n = 0
(36 + 0 + -25n2) = 0
(36 + -25n2) = 0
Solving
36 + -25n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-36' to each side of the equation.
36 + -36 + -25n2 = 0 + -36
Combine like terms: 36 + -36 = 0
0 + -25n2 = 0 + -36
-25n2 = 0 + -36
Combine like terms: 0 + -36 = -36
-25n2 = -36
Divide each side by '-25'.
n2 = 1.44
Simplifying
n2 = 1.44
Take the square root of each side:
n = {-1.2, 1.2}
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