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

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


Simplifying
(x + m)(x + n) = (x2) + 6x + 5solve(m2) + (n2)

Reorder the terms:
(m + x)(x + n) = (x2) + 6x + 5solve(m2) + (n2)

Reorder the terms:
(m + x)(n + x) = (x2) + 6x + 5solve(m2) + (n2)

Multiply (m + x) * (n + x)
(m(n + x) + x(n + x)) = (x2) + 6x + 5solve(m2) + (n2)
((n * m + x * m) + x(n + x)) = (x2) + 6x + 5solve(m2) + (n2)
((mn + mx) + x(n + x)) = (x2) + 6x + 5solve(m2) + (n2)
(mn + mx + (n * x + x * x)) = (x2) + 6x + 5solve(m2) + (n2)
(mn + mx + (nx + x2)) = (x2) + 6x + 5solve(m2) + (n2)
(mn + mx + nx + x2) = (x2) + 6x + 5solve(m2) + (n2)
mn + mx + nx + x2 = x2 + 6x + 5solve(m2) + (n2)

Multiply elosv * m2
mn + mx + nx + x2 = x2 + 6x + 5elm2osv + (n2)
mn + mx + nx + x2 = x2 + 6x + 5elm2osv + n2

Reorder the terms:
mn + mx + nx + x2 = 5elm2osv + n2 + 6x + x2

Add '-1x2' to each side of the equation.
mn + mx + nx + x2 + -1x2 = 5elm2osv + n2 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
mn + mx + nx + 0 = 5elm2osv + n2 + 6x + x2 + -1x2
mn + mx + nx = 5elm2osv + n2 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
mn + mx + nx = 5elm2osv + n2 + 6x + 0
mn + mx + nx = 5elm2osv + n2 + 6x

Solving
mn + mx + nx = 5elm2osv + n2 + 6x

Solving for variable 'm'.

Reorder the terms:
-5elm2osv + mn + mx + nx + -1n2 + -6x = 5elm2osv + n2 + 6x + -5elm2osv + -1n2 + -6x

Reorder the terms:
-5elm2osv + mn + mx + nx + -1n2 + -6x = 5elm2osv + -5elm2osv + n2 + -1n2 + 6x + -6x

Combine like terms: 5elm2osv + -5elm2osv = 0
-5elm2osv + mn + mx + nx + -1n2 + -6x = 0 + n2 + -1n2 + 6x + -6x
-5elm2osv + mn + mx + nx + -1n2 + -6x = n2 + -1n2 + 6x + -6x

Combine like terms: n2 + -1n2 = 0
-5elm2osv + mn + mx + nx + -1n2 + -6x = 0 + 6x + -6x
-5elm2osv + mn + mx + nx + -1n2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-5elm2osv + mn + mx + nx + -1n2 + -6x = 0

The solution to this equation could not be determined.

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