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

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


Simplifying
(x + m)(x + n) = x2 + 6x + 5findm2 + n2

Reorder the terms:
(m + x)(x + n) = x2 + 6x + 5findm2 + n2

Reorder the terms:
(m + x)(n + x) = x2 + 6x + 5findm2 + n2

Multiply (m + x) * (n + x)
(m(n + x) + x(n + x)) = x2 + 6x + 5findm2 + n2
((n * m + x * m) + x(n + x)) = x2 + 6x + 5findm2 + n2
((mn + mx) + x(n + x)) = x2 + 6x + 5findm2 + n2
(mn + mx + (n * x + x * x)) = x2 + 6x + 5findm2 + n2
(mn + mx + (nx + x2)) = x2 + 6x + 5findm2 + n2
(mn + mx + nx + x2) = x2 + 6x + 5findm2 + n2

Reorder the terms:
mn + mx + nx + x2 = 5dfim2n + n2 + 6x + x2

Add '-1x2' to each side of the equation.
mn + mx + nx + x2 + -1x2 = 5dfim2n + n2 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
mn + mx + nx + 0 = 5dfim2n + n2 + 6x + x2 + -1x2
mn + mx + nx = 5dfim2n + n2 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
mn + mx + nx = 5dfim2n + n2 + 6x + 0
mn + mx + nx = 5dfim2n + n2 + 6x

Solving
mn + mx + nx = 5dfim2n + n2 + 6x

Solving for variable 'm'.

Reorder the terms:
-5dfim2n + mn + mx + nx + -1n2 + -6x = 5dfim2n + n2 + 6x + -5dfim2n + -1n2 + -6x

Reorder the terms:
-5dfim2n + mn + mx + nx + -1n2 + -6x = 5dfim2n + -5dfim2n + n2 + -1n2 + 6x + -6x

Combine like terms: 5dfim2n + -5dfim2n = 0
-5dfim2n + mn + mx + nx + -1n2 + -6x = 0 + n2 + -1n2 + 6x + -6x
-5dfim2n + mn + mx + nx + -1n2 + -6x = n2 + -1n2 + 6x + -6x

Combine like terms: n2 + -1n2 = 0
-5dfim2n + mn + mx + nx + -1n2 + -6x = 0 + 6x + -6x
-5dfim2n + mn + mx + nx + -1n2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-5dfim2n + mn + mx + nx + -1n2 + -6x = 0

The solution to this equation could not be determined.

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