(mx+9)(5x+n)=25x^2-81

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Solution for (mx+9)(5x+n)=25x^2-81 equation: 


Simplifying
(mx + 9)(5x + n) = 25x2 + -81

Reorder the terms:
(9 + mx)(5x + n) = 25x2 + -81

Reorder the terms:
(9 + mx)(n + 5x) = 25x2 + -81

Multiply (9 + mx) * (n + 5x)
(9(n + 5x) + mx(n + 5x)) = 25x2 + -81
((n * 9 + 5x * 9) + mx(n + 5x)) = 25x2 + -81
((9n + 45x) + mx(n + 5x)) = 25x2 + -81
(9n + 45x + (n * mx + 5x * mx)) = 25x2 + -81
(9n + 45x + (mnx + 5mx2)) = 25x2 + -81

Reorder the terms:
(mnx + 5mx2 + 9n + 45x) = 25x2 + -81
(mnx + 5mx2 + 9n + 45x) = 25x2 + -81

Reorder the terms:
mnx + 5mx2 + 9n + 45x = -81 + 25x2

Solving
mnx + 5mx2 + 9n + 45x = -81 + 25x2

Solving for variable 'm'.

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

Add '-9n' to each side of the equation.
mnx + 5mx2 + 9n + -9n + 45x = -81 + -9n + 25x2

Combine like terms: 9n + -9n = 0
mnx + 5mx2 + 0 + 45x = -81 + -9n + 25x2
mnx + 5mx2 + 45x = -81 + -9n + 25x2

Add '-45x' to each side of the equation.
mnx + 5mx2 + 45x + -45x = -81 + -9n + -45x + 25x2

Combine like terms: 45x + -45x = 0
mnx + 5mx2 + 0 = -81 + -9n + -45x + 25x2
mnx + 5mx2 = -81 + -9n + -45x + 25x2

Reorder the terms:
81 + mnx + 5mx2 + 9n + 45x + -25x2 = -81 + -9n + -45x + 25x2 + 81 + 9n + 45x + -25x2

Reorder the terms:
81 + mnx + 5mx2 + 9n + 45x + -25x2 = -81 + 81 + -9n + 9n + -45x + 45x + 25x2 + -25x2

Combine like terms: -81 + 81 = 0
81 + mnx + 5mx2 + 9n + 45x + -25x2 = 0 + -9n + 9n + -45x + 45x + 25x2 + -25x2
81 + mnx + 5mx2 + 9n + 45x + -25x2 = -9n + 9n + -45x + 45x + 25x2 + -25x2

Combine like terms: -9n + 9n = 0
81 + mnx + 5mx2 + 9n + 45x + -25x2 = 0 + -45x + 45x + 25x2 + -25x2
81 + mnx + 5mx2 + 9n + 45x + -25x2 = -45x + 45x + 25x2 + -25x2

Combine like terms: -45x + 45x = 0
81 + mnx + 5mx2 + 9n + 45x + -25x2 = 0 + 25x2 + -25x2
81 + mnx + 5mx2 + 9n + 45x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
81 + mnx + 5mx2 + 9n + 45x + -25x2 = 0

The solution to this equation could not be determined.

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