(8m^2-7n^2)-(n^2-12m^2)=

Solution for (8m^2-7n^2)-(n^2-12m^2)= equation:

Simplifying
(8m2 + -7n2) + -1(n2 + -12m2) = 0

Remove parenthesis around (8m2 + -7n2)
8m2 + -7n2 + -1(n2 + -12m2) = 0

Reorder the terms:
8m2 + -7n2 + -1(-12m2 + n2) = 0
8m2 + -7n2 + (-12m2 * -1 + n2 * -1) = 0
8m2 + -7n2 + (12m2 + -1n2) = 0

Reorder the terms:
8m2 + 12m2 + -7n2 + -1n2 = 0

Combine like terms: 8m2 + 12m2 = 20m2
20m2 + -7n2 + -1n2 = 0

Combine like terms: -7n2 + -1n2 = -8n2
20m2 + -8n2 = 0

Solving
20m2 + -8n2 = 0

Solving for variable 'm'.

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

Add '8n2' to each side of the equation.
20m2 + -8n2 + 8n2 = 0 + 8n2

Combine like terms: -8n2 + 8n2 = 0
20m2 + 0 = 0 + 8n2
20m2 = 0 + 8n2
Remove the zero:
20m2 = 8n2

Divide each side by '20'.
m2 = 0.4n2

Simplifying
m2 = 0.4n2

Take the square root of each side:
m = {-0.632455532n, 0.632455532n}