x^2+5x+k+1=0

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Solution for x^2+5x+k+1=0 equation:


Simplifying
x2 + 5x + k + 1 = 0

Reorder the terms:
1 + k + 5x + x2 = 0

Solving
1 + k + 5x + x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + k + 5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + k + 5x + x2 = 0 + -1

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

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

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

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

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

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

Simplifying
k = -1 + -5x + -1x2

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