48b^2+28b+6=0

Simple and best practice solution for 48b^2+28b+6=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 48b^2+28b+6=0 equation: 


Simplifying
48b2 + 28b + 6 = 0

Reorder the terms:
6 + 28b + 48b2 = 0

Solving
6 + 28b + 48b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 14b + 24b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + 14b + 24b2)' equal to zero and attempt to solve:

Simplifying
3 + 14b + 24b2 = 0

Solving
3 + 14b + 24b2 = 0

Begin completing the square.  Divide all terms by
24 the coefficient of the squared term: 

Divide each side by '24'.
0.125 + 0.5833333333b + b2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.5833333333b + -0.125 + b2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.5833333333b + b2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.5833333333b + b2 = 0 + -0.125
0.5833333333b + b2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.5833333333b + b2 = -0.125

The b term is 0.5833333333b.  Take half its coefficient (0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
0.5833333333b + 0.08506944446 + b2 = -0.125 + 0.08506944446

Reorder the terms:
0.08506944446 + 0.5833333333b + b2 = -0.125 + 0.08506944446

Combine like terms: -0.125 + 0.08506944446 = -0.03993055554
0.08506944446 + 0.5833333333b + b2 = -0.03993055554

Factor a perfect square on the left side:
(b + 0.2916666667)(b + 0.2916666667) = -0.03993055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| k/2.5=6 | | m/1.3=0.5 | | r/8=9.4 | | (0.5)x+1=(1.5)x-8 | | n/0.2=2.1 | | y/3=0.7 | | 2.2x-1.4x-2.2=16 | | b/8=-5.6 | | h/6.9=-9 | | t/2.9=-6 | | q/3=-0.8 | | 6x-8=4x-5 | | -2=g/93/4 | | 0.25x+2=5 | | 66/7=y/7/8 | | q/3=-5/7 | | z+y+12=180 | | m/0.3=2.9 | | 3x+14=-40-x | | 5x+25y=340 | | -4c-9.6+-5c=0 | | 17u=21.25 | | -0.8z=-100 | | -6x-54=9x-9 | | y/9.97=-1.1 | | -7.56=1.26 | | 0.9w=--8.28 | | 5m+1=-10-19 | | 4(x-1)+10=3x+4(-x-1) | | -7x+18=-4x | | -1.2h=75.36 | | -0.5x-5=-7 |

Equations solver categories