(6b^2+12)=(2b+8)

Simple and best practice solution for (6b^2+12)=(2b+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 (6b^2+12)=(2b+8) equation: 


Simplifying
(6b2 + 12) = (2b + 8)

Reorder the terms:
(12 + 6b2) = (2b + 8)

Remove parenthesis around (12 + 6b2)
12 + 6b2 = (2b + 8)

Reorder the terms:
12 + 6b2 = (8 + 2b)

Remove parenthesis around (8 + 2b)
12 + 6b2 = 8 + 2b

Solving
12 + 6b2 = 8 + 2b

Solving for variable 'b'.

Reorder the terms:
12 + -8 + -2b + 6b2 = 8 + 2b + -8 + -2b

Combine like terms: 12 + -8 = 4
4 + -2b + 6b2 = 8 + 2b + -8 + -2b

Reorder the terms:
4 + -2b + 6b2 = 8 + -8 + 2b + -2b

Combine like terms: 8 + -8 = 0
4 + -2b + 6b2 = 0 + 2b + -2b
4 + -2b + 6b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
4 + -2b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -1b + 3b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -1b + 3b2)' equal to zero and attempt to solve:

Simplifying
2 + -1b + 3b2 = 0

Solving
2 + -1b + 3b2 = 0

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

Divide each side by '3'.
0.6666666667 + -0.3333333333b + b2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333b + -0.6666666667 + b2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333b + b2 = 0 + -0.6666666667
-0.3333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333b + b2 = -0.6666666667

The b term is -0.3333333333b.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333b + 0.02777777779 + b2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333b + b2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + -0.3333333333b + b2 = -0.63888888891

Factor a perfect square on the left side:
(b + -0.1666666667)(b + -0.1666666667) = -0.63888888891

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:

| 3x-75=65-2x | | 2(x-5)=10x+7 | | -4x-112=11x+83 | | 7n-.66=17 | | 11+6t=8t+15 | | M^2-7m=-12 | | 4/5r/2 | | (11+3y)+3y=1 | | Y+27=356 | | 6(w-5)-4=-5(-3w+4)-5w | | y+6=3(x-5) | | (10x)+4-(3x)-8=45 | | 5x-3=40x+18 | | td+x=10 | | xd+t=10 | | 8x=2(x+20) | | 16x^5-10x^2-8x/2x | | 2x+25=4x-6 | | -5+18x=17x | | 4(-5n+5)+2=122 | | 6y^2-16y-9=0 | | b11/b4 | | 21x+6=7x | | 2(x+20)=8(x) | | 4y^3-(36y)^(1/3)=0 | | -13+1=-3(x+6) | | Z-19.2=37.46 | | 3(x+2)=2x+14-x | | -4(6-y)+4=-4 | | 2b+2=x | | -1.5=-0.5a+1.2a | | 2.3v=7.13 |

Equations solver categories