12b^2+14b=-8

Simple and best practice solution for 12b^2+14b=-8 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 12b^2+14b=-8 equation: 


Simplifying
12b2 + 14b = -8

Reorder the terms:
14b + 12b2 = -8

Solving
14b + 12b2 = -8

Solving for variable 'b'.

Reorder the terms:
8 + 14b + 12b2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 14b + 12b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 7b + 6b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 7b + 6b2)' equal to zero and attempt to solve:

Simplifying
4 + 7b + 6b2 = 0

Solving
4 + 7b + 6b2 = 0

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

Divide each side by '6'.
0.6666666667 + 1.166666667b + b2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 1.166666667b + -0.6666666667 + b2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 1.166666667b + b2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 1.166666667b + b2 = 0 + -0.6666666667
1.166666667b + b2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
1.166666667b + b2 = -0.6666666667

The b term is 1.166666667b.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667b + 0.3402777780 + b2 = -0.6666666667 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667b + b2 = -0.6666666667 + 0.3402777780

Combine like terms: -0.6666666667 + 0.3402777780 = -0.3263888887
0.3402777780 + 1.166666667b + b2 = -0.3263888887

Factor a perfect square on the left side:
(b + 0.5833333335)(b + 0.5833333335) = -0.3263888887

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:

| 12²√3=l^2.²√3/4 | | 120=x+70 | | 3-3-17=18 | | 7/8=1/2h | | 13=7x-3x-7 | | (x-7)/5=9 | | log(x^2-14)64=6 | | -2y+6x=-4 | | 9z+8=9z-z | | 4(-2)+x=7 | | 8x((9/2)-8 | | 9a^2-11=6a | | (d^2-9)-(-5d^2+3d-1)= | | 5k^2+2k-16=0 | | -4-6x=68 | | 4g-3+5-0=3g+g | | -70=-32+b | | r+3.5=12.6 | | 4.5=-2x-2.5 | | -6+2x=16 | | 3=21/w,w=0 | | 74=75+v | | 9-7x+7=9x | | m=7/8 | | 2x+28=x+23 | | 3=u-11/2 | | 3y-3=-5(y-2)+3 | | 7x-3=-66 | | x-49=-2 | | 30+n=1 | | 17+8x=57 | | 0.2x-1.6=4 |

Equations solver categories