3b-2b^2=6

Simple and best practice solution for 3b-2b^2=6 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 3b-2b^2=6 equation:


Simplifying
3b + -2b2 = 6

Solving
3b + -2b2 = 6

Solving for variable 'b'.

Reorder the terms:
-6 + 3b + -2b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 3b + -2b2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -1.5b + b2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.5b + -3 + b2 = 0 + -3

Reorder the terms:
3 + -3 + -1.5b + b2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.5b + b2 = 0 + -3
-1.5b + b2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.5b + b2 = -3

The b term is -1.5b.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5b + 0.5625 + b2 = -3 + 0.5625

Reorder the terms:
0.5625 + -1.5b + b2 = -3 + 0.5625

Combine like terms: -3 + 0.5625 = -2.4375
0.5625 + -1.5b + b2 = -2.4375

Factor a perfect square on the left side:
(b + -0.75)(b + -0.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 18-4b= | | 7t-15=9+t | | 7/9=p/16 | | 10/18=q/16 | | 3x-35=9x-56 | | X+52=39-17 | | 10/8=q/16 | | X+30=44-9 | | (8t+30)+(-2+-16)=22 | | X+15=28-14 | | 1/x-2=8x | | (5x^2+3x-2)(x+7)= | | 3+23=x+11 | | (7a+3)+(-a-5)=6 | | 2/8=4/m | | 3m^2-41m+84=0 | | 16x+2=68 | | (3x+45)=180 | | (3x+45)=89 | | 16-3(6x-3)=-2 | | 5(-5+4x)=115 | | 3x-9+6x=15x-15+3 | | 5=-8+y | | 3x-2=3x+24 | | 32=4T+10 | | U+8=7 | | -4x-12=-44 | | -12=8-4/5x | | 7w-14=35 | | 1/2x-5/7=-6/7 | | 5/3=x/12 | | 100x^2-20x-3=0 |

Equations solver categories