5k^2-2k+18=9k^2-2k-82

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Solution for 5k^2-2k+18=9k^2-2k-82 equation: 


Simplifying
5k2 + -2k + 18 = 9k2 + -2k + -82

Reorder the terms:
18 + -2k + 5k2 = 9k2 + -2k + -82

Reorder the terms:
18 + -2k + 5k2 = -82 + -2k + 9k2

Add '2k' to each side of the equation.
18 + -2k + 2k + 5k2 = -82 + -2k + 2k + 9k2

Combine like terms: -2k + 2k = 0
18 + 0 + 5k2 = -82 + -2k + 2k + 9k2
18 + 5k2 = -82 + -2k + 2k + 9k2

Combine like terms: -2k + 2k = 0
18 + 5k2 = -82 + 0 + 9k2
18 + 5k2 = -82 + 9k2

Solving
18 + 5k2 = -82 + 9k2

Solving for variable 'k'.

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

Add '-9k2' to each side of the equation.
18 + 5k2 + -9k2 = -82 + 9k2 + -9k2

Combine like terms: 5k2 + -9k2 = -4k2
18 + -4k2 = -82 + 9k2 + -9k2

Combine like terms: 9k2 + -9k2 = 0
18 + -4k2 = -82 + 0
18 + -4k2 = -82

Add '-18' to each side of the equation.
18 + -18 + -4k2 = -82 + -18

Combine like terms: 18 + -18 = 0
0 + -4k2 = -82 + -18
-4k2 = -82 + -18

Combine like terms: -82 + -18 = -100
-4k2 = -100

Divide each side by '-4'.
k2 = 25

Simplifying
k2 = 25

Take the square root of each side:
k = {-5, 5}

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