x^2+(2m+3)x+m+1=0

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Solution for x^2+(2m+3)x+m+1=0 equation: 


Simplifying
x2 + (2m + 3) * x + m + 1 = 0

Reorder the terms:
x2 + (3 + 2m) * x + m + 1 = 0

Reorder the terms for easier multiplication:
x2 + x(3 + 2m) + m + 1 = 0
x2 + (3 * x + 2m * x) + m + 1 = 0

Reorder the terms:
x2 + (2mx + 3x) + m + 1 = 0
x2 + (2mx + 3x) + m + 1 = 0

Reorder the terms:
1 + m + 2mx + 3x + x2 = 0

Solving
1 + m + 2mx + 3x + x2 = 0

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + m + 2mx + 3x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + m + 2mx + 3x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + 2mx + 3x + x2 = 0 + -1
m + 2mx + 3x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
m + 2mx + 3x + x2 = -1

Add '-3x' to each side of the equation.
m + 2mx + 3x + -3x + x2 = -1 + -3x

Combine like terms: 3x + -3x = 0
m + 2mx + 0 + x2 = -1 + -3x
m + 2mx + x2 = -1 + -3x

Add '-1x2' to each side of the equation.
m + 2mx + x2 + -1x2 = -1 + -3x + -1x2

Combine like terms: x2 + -1x2 = 0
m + 2mx + 0 = -1 + -3x + -1x2
m + 2mx = -1 + -3x + -1x2

Reorder the terms:
1 + m + 2mx + 3x + x2 = -1 + -3x + -1x2 + 1 + 3x + x2

Reorder the terms:
1 + m + 2mx + 3x + x2 = -1 + 1 + -3x + 3x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + m + 2mx + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
1 + m + 2mx + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
1 + m + 2mx + 3x + x2 = 0 + -1x2 + x2
1 + m + 2mx + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + m + 2mx + 3x + x2 = 0

The solution to this equation could not be determined.

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