12=10-2k^2+20

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Solution for 12=10-2k^2+20 equation: 


Simplifying
12 = 10 + -2k2 + 20

Reorder the terms:
12 = 10 + 20 + -2k2

Combine like terms: 10 + 20 = 30
12 = 30 + -2k2

Solving
12 = 30 + -2k2

Solving for variable 'k'.

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

Add '2k2' to each side of the equation.
12 + 2k2 = 30 + -2k2 + 2k2

Combine like terms: -2k2 + 2k2 = 0
12 + 2k2 = 30 + 0
12 + 2k2 = 30

Add '-12' to each side of the equation.
12 + -12 + 2k2 = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 2k2 = 30 + -12
2k2 = 30 + -12

Combine like terms: 30 + -12 = 18
2k2 = 18

Divide each side by '2'.
k2 = 9

Simplifying
k2 = 9

Take the square root of each side:
k = {-3, 3}

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