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Simplifying
(3m + n2)(3m + -1n2) = 0
Multiply (3m + n2) * (3m + -1n2)
(3m * (3m + -1n2) + n2(3m + -1n2)) = 0
((3m * 3m + -1n2 * 3m) + n2(3m + -1n2)) = 0
Reorder the terms:
((-3mn2 + 9m2) + n2(3m + -1n2)) = 0
((-3mn2 + 9m2) + n2(3m + -1n2)) = 0
(-3mn2 + 9m2 + (3m * n2 + -1n2 * n2)) = 0
(-3mn2 + 9m2 + (3mn2 + -1n4)) = 0
Reorder the terms:
(-3mn2 + 3mn2 + 9m2 + -1n4) = 0
Combine like terms: -3mn2 + 3mn2 = 0
(0 + 9m2 + -1n4) = 0
(9m2 + -1n4) = 0
Solving
9m2 + -1n4 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'n4' to each side of the equation.
9m2 + -1n4 + n4 = 0 + n4
Combine like terms: -1n4 + n4 = 0
9m2 + 0 = 0 + n4
9m2 = 0 + n4
Remove the zero:
9m2 = n4
Divide each side by '9'.
m2 = 0.1111111111n4
Simplifying
m2 = 0.1111111111n4
Take the square root of each side:
m = {-0.333333333n2, 0.333333333n2}
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