x^2+6mx-5n=0

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Solution for x^2+6mx-5n=0 equation:


Simplifying
x2 + 6mx + -5n = 0

Reorder the terms:
6mx + -5n + x2 = 0

Solving
6mx + -5n + x2 = 0

Solving for variable 'm'.

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

Add '5n' to each side of the equation.
6mx + -5n + 5n + x2 = 0 + 5n

Combine like terms: -5n + 5n = 0
6mx + 0 + x2 = 0 + 5n
6mx + x2 = 0 + 5n
Remove the zero:
6mx + x2 = 5n

Add '-1x2' to each side of the equation.
6mx + x2 + -1x2 = 5n + -1x2

Combine like terms: x2 + -1x2 = 0
6mx + 0 = 5n + -1x2
6mx = 5n + -1x2

Divide each side by '6x'.
m = 0.8333333333nx-1 + -0.1666666667x

Simplifying
m = 0.8333333333nx-1 + -0.1666666667x

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