(2n-3)(2n+3)=

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Solution for (2n-3)(2n+3)= equation:


Simplifying
(2n + -3)(2n + 3) = 0

Reorder the terms:
(-3 + 2n)(2n + 3) = 0

Reorder the terms:
(-3 + 2n)(3 + 2n) = 0

Multiply (-3 + 2n) * (3 + 2n)
(-3(3 + 2n) + 2n * (3 + 2n)) = 0
((3 * -3 + 2n * -3) + 2n * (3 + 2n)) = 0
((-9 + -6n) + 2n * (3 + 2n)) = 0
(-9 + -6n + (3 * 2n + 2n * 2n)) = 0
(-9 + -6n + (6n + 4n2)) = 0

Combine like terms: -6n + 6n = 0
(-9 + 0 + 4n2) = 0
(-9 + 4n2) = 0

Solving
-9 + 4n2 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 4n2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4n2 = 0 + 9
4n2 = 0 + 9

Combine like terms: 0 + 9 = 9
4n2 = 9

Divide each side by '4'.
n2 = 2.25

Simplifying
n2 = 2.25

Take the square root of each side:
n = {-1.5, 1.5}

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