x^2+(m+5)x=-(5m+1)

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Solution for x^2+(m+5)x=-(5m+1) equation: 


Simplifying
x2 + (m + 5) * x = -1(5m + 1)

Reorder the terms:
x2 + (5 + m) * x = -1(5m + 1)

Reorder the terms for easier multiplication:
x2 + x(5 + m) = -1(5m + 1)
x2 + (5 * x + m * x) = -1(5m + 1)

Reorder the terms:
x2 + (mx + 5x) = -1(5m + 1)
x2 + (mx + 5x) = -1(5m + 1)

Reorder the terms:
mx + 5x + x2 = -1(5m + 1)

Reorder the terms:
mx + 5x + x2 = -1(1 + 5m)
mx + 5x + x2 = (1 * -1 + 5m * -1)
mx + 5x + x2 = (-1 + -5m)

Solving
mx + 5x + x2 = -1 + -5m

Solving for variable 'm'.

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

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

Reorder the terms:
5m + mx + 5x + x2 = -1 + -5m + 5m

Combine like terms: -5m + 5m = 0
5m + mx + 5x + x2 = -1 + 0
5m + mx + 5x + x2 = -1

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

Combine like terms: 5x + -5x = 0
5m + mx + 0 + x2 = -1 + -5x
5m + mx + x2 = -1 + -5x

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

Combine like terms: x2 + -1x2 = 0
5m + mx + 0 = -1 + -5x + -1x2
5m + mx = -1 + -5x + -1x2

Reorder the terms:
1 + 5m + mx + 5x + x2 = -1 + -5x + -1x2 + 1 + 5x + x2

Reorder the terms:
1 + 5m + mx + 5x + x2 = -1 + 1 + -5x + 5x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 5m + mx + 5x + x2 = 0 + -5x + 5x + -1x2 + x2
1 + 5m + mx + 5x + x2 = -5x + 5x + -1x2 + x2

Combine like terms: -5x + 5x = 0
1 + 5m + mx + 5x + x2 = 0 + -1x2 + x2
1 + 5m + mx + 5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 5m + mx + 5x + x2 = 0

The solution to this equation could not be determined.

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