(2k-3)(2k+3)=44

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Solution for (2k-3)(2k+3)=44 equation:


Simplifying
(2k + -3)(2k + 3) = 44

Reorder the terms:
(-3 + 2k)(2k + 3) = 44

Reorder the terms:
(-3 + 2k)(3 + 2k) = 44

Multiply (-3 + 2k) * (3 + 2k)
(-3(3 + 2k) + 2k * (3 + 2k)) = 44
((3 * -3 + 2k * -3) + 2k * (3 + 2k)) = 44
((-9 + -6k) + 2k * (3 + 2k)) = 44
(-9 + -6k + (3 * 2k + 2k * 2k)) = 44
(-9 + -6k + (6k + 4k2)) = 44

Combine like terms: -6k + 6k = 0
(-9 + 0 + 4k2) = 44
(-9 + 4k2) = 44

Solving
-9 + 4k2 = 44

Solving for variable 'k'.

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

Add '9' to each side of the equation.
-9 + 9 + 4k2 = 44 + 9

Combine like terms: -9 + 9 = 0
0 + 4k2 = 44 + 9
4k2 = 44 + 9

Combine like terms: 44 + 9 = 53
4k2 = 53

Divide each side by '4'.
k2 = 13.25

Simplifying
k2 = 13.25

Take the square root of each side:
k = {-3.640054945, 3.640054945}

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