7-2k^2=-13

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Solution for 7-2k^2=-13 equation: 


Simplifying
7 + -2k2 = -13

Solving
7 + -2k2 = -13

Solving for variable 'k'.

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

Add '-7' to each side of the equation.
7 + -7 + -2k2 = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -2k2 = -13 + -7
-2k2 = -13 + -7

Combine like terms: -13 + -7 = -20
-2k2 = -20

Divide each side by '-2'.
k2 = 10

Simplifying
k2 = 10

Take the square root of each side:
k = {-3.16227766, 3.16227766}

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