3x^2+bx+1=0

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Solution for 3x^2+bx+1=0 equation: 


Simplifying
3x2 + bx + 1 = 0

Reorder the terms:
1 + bx + 3x2 = 0

Solving
1 + bx + 3x2 = 0

Solving for variable 'b'.

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

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

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

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

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

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

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

Divide each side by 'x'.
b = -1x-1 + -3x

Simplifying
b = -1x-1 + -3x

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