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Simplifying
(m * m) + -1(25n * 25n) = 0
Multiply m * m
(m2) + -1(25n * 25n) = 0
m2 + -1(25n * 25n) = 0
Reorder the terms for easier multiplication:
m2 + -1(25 * 25n * n) = 0
Multiply 25 * 25
m2 + -1(625n * n) = 0
Multiply n * n
m2 + -1(625n2) = 0
Remove parenthesis around (625n2)
m2 + -1 * 625n2 = 0
Multiply -1 * 625
m2 + -625n2 = 0
Solving
m2 + -625n2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '625n2' to each side of the equation.
m2 + -625n2 + 625n2 = 0 + 625n2
Combine like terms: -625n2 + 625n2 = 0
m2 + 0 = 0 + 625n2
m2 = 0 + 625n2
Remove the zero:
m2 = 625n2
Simplifying
m2 = 625n2
Take the square root of each side:
m = {-25n, 25n}
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