5m^2+16k^2=13m^2

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Solution for 5m^2+16k^2=13m^2 equation:


Simplifying
5m2 + 16k2 = 13m2

Reorder the terms:
16k2 + 5m2 = 13m2

Solving
16k2 + 5m2 = 13m2

Solving for variable 'k'.

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

Add '-5m2' to each side of the equation.
16k2 + 5m2 + -5m2 = 13m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
16k2 + 0 = 13m2 + -5m2
16k2 = 13m2 + -5m2

Combine like terms: 13m2 + -5m2 = 8m2
16k2 = 8m2

Divide each side by '16'.
k2 = 0.5m2

Simplifying
k2 = 0.5m2

Take the square root of each side:
k = {-0.707106781m, 0.707106781m}

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