(x+m)(x+n)=(x^2)+6x+5

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Solution for (x+m)(x+n)=(x^2)+6x+5 equation:


Simplifying
(x + m)(x + n) = (x2) + 6x + 5

Reorder the terms:
(m + x)(x + n) = (x2) + 6x + 5

Reorder the terms:
(m + x)(n + x) = (x2) + 6x + 5

Multiply (m + x) * (n + x)
(m(n + x) + x(n + x)) = (x2) + 6x + 5
((n * m + x * m) + x(n + x)) = (x2) + 6x + 5
((mn + mx) + x(n + x)) = (x2) + 6x + 5
(mn + mx + (n * x + x * x)) = (x2) + 6x + 5
(mn + mx + (nx + x2)) = (x2) + 6x + 5
(mn + mx + nx + x2) = (x2) + 6x + 5
mn + mx + nx + x2 = x2 + 6x + 5

Reorder the terms:
mn + mx + nx + x2 = 5 + 6x + x2

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

Combine like terms: x2 + -1x2 = 0
mn + mx + nx + 0 = 5 + 6x + x2 + -1x2
mn + mx + nx = 5 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
mn + mx + nx = 5 + 6x + 0
mn + mx + nx = 5 + 6x

Solving
mn + mx + nx = 5 + 6x

Solving for variable 'm'.

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

Add '-1nx' to each side of the equation.
mn + mx + nx + -1nx = 5 + -1nx + 6x

Combine like terms: nx + -1nx = 0
mn + mx + 0 = 5 + -1nx + 6x
mn + mx = 5 + -1nx + 6x

Reorder the terms:
-5 + mn + mx + nx + -6x = 5 + -1nx + 6x + -5 + nx + -6x

Reorder the terms:
-5 + mn + mx + nx + -6x = 5 + -5 + -1nx + nx + 6x + -6x

Combine like terms: 5 + -5 = 0
-5 + mn + mx + nx + -6x = 0 + -1nx + nx + 6x + -6x
-5 + mn + mx + nx + -6x = -1nx + nx + 6x + -6x

Combine like terms: -1nx + nx = 0
-5 + mn + mx + nx + -6x = 0 + 6x + -6x
-5 + mn + mx + nx + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + mn + mx + nx + -6x = 0

The solution to this equation could not be determined.

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