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

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


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

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

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

Reorder the terms:
(bx2 + 1x2) + (b + 3) * x + 2 = 0
(bx2 + 1x2) + (b + 3) * x + 2 = 0

Reorder the terms:
bx2 + 1x2 + (3 + b) * x + 2 = 0

Reorder the terms for easier multiplication:
bx2 + 1x2 + x(3 + b) + 2 = 0
bx2 + 1x2 + (3 * x + b * x) + 2 = 0

Reorder the terms:
bx2 + 1x2 + (bx + 3x) + 2 = 0
bx2 + 1x2 + (bx + 3x) + 2 = 0

Reorder the terms:
2 + bx + bx2 + 3x + 1x2 = 0

Solving
2 + bx + bx2 + 3x + 1x2 = 0

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + bx + bx2 + 3x + -2 + 1x2 = 0 + -2

Reorder the terms:
2 + -2 + bx + bx2 + 3x + 1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + bx + bx2 + 3x + 1x2 = 0 + -2
bx + bx2 + 3x + 1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
bx + bx2 + 3x + 1x2 = -2

Add '-3x' to each side of the equation.
bx + bx2 + 3x + -3x + 1x2 = -2 + -3x

Combine like terms: 3x + -3x = 0
bx + bx2 + 0 + 1x2 = -2 + -3x
bx + bx2 + 1x2 = -2 + -3x

Add '-1x2' to each side of the equation.
bx + bx2 + 1x2 + -1x2 = -2 + -3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
bx + bx2 + 0 = -2 + -3x + -1x2
bx + bx2 = -2 + -3x + -1x2

Reorder the terms:
2 + bx + bx2 + 3x + x2 = -2 + -3x + -1x2 + 2 + 3x + x2

Reorder the terms:
2 + bx + bx2 + 3x + x2 = -2 + 2 + -3x + 3x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + bx + bx2 + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
2 + bx + bx2 + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
2 + bx + bx2 + 3x + x2 = 0 + -1x2 + x2
2 + bx + bx2 + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + bx + bx2 + 3x + x2 = 0

The solution to this equation could not be determined.

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