4(b-8)+3b(11-b)-7=

Simple and best practice solution for 4(b-8)+3b(11-b)-7= 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 4(b-8)+3b(11-b)-7= equation:


Simplifying
4(b + -8) + 3b(11 + -1b) + -7 = 0

Reorder the terms:
4(-8 + b) + 3b(11 + -1b) + -7 = 0
(-8 * 4 + b * 4) + 3b(11 + -1b) + -7 = 0
(-32 + 4b) + 3b(11 + -1b) + -7 = 0
-32 + 4b + (11 * 3b + -1b * 3b) + -7 = 0
-32 + 4b + (33b + -3b2) + -7 = 0

Reorder the terms:
-32 + -7 + 4b + 33b + -3b2 = 0

Combine like terms: -32 + -7 = -39
-39 + 4b + 33b + -3b2 = 0

Combine like terms: 4b + 33b = 37b
-39 + 37b + -3b2 = 0

Solving
-39 + 37b + -3b2 = 0

Solving for variable 'b'.

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

Divide each side by '-3'.
13 + -12.33333333b + b2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -12.33333333b + -13 + b2 = 0 + -13

Reorder the terms:
13 + -13 + -12.33333333b + b2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -12.33333333b + b2 = 0 + -13
-12.33333333b + b2 = 0 + -13

Combine like terms: 0 + -13 = -13
-12.33333333b + b2 = -13

The b term is -12.33333333b.  Take half its coefficient (-6.166666665).
Square it (38.02777776) and add it to both sides.

Add '38.02777776' to each side of the equation.
-12.33333333b + 38.02777776 + b2 = -13 + 38.02777776

Reorder the terms:
38.02777776 + -12.33333333b + b2 = -13 + 38.02777776

Combine like terms: -13 + 38.02777776 = 25.02777776
38.02777776 + -12.33333333b + b2 = 25.02777776

Factor a perfect square on the left side:
(b + -6.166666665)(b + -6.166666665) = 25.02777776

Calculate the square root of the right side: 5.002777005

Break this problem into two subproblems by setting 
(b + -6.166666665) equal to 5.002777005 and -5.002777005.

Subproblem 1

b + -6.166666665 = 5.002777005 Simplifying b + -6.166666665 = 5.002777005 Reorder the terms: -6.166666665 + b = 5.002777005 Solving -6.166666665 + b = 5.002777005 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6.166666665' to each side of the equation. -6.166666665 + 6.166666665 + b = 5.002777005 + 6.166666665 Combine like terms: -6.166666665 + 6.166666665 = 0.000000000 0.000000000 + b = 5.002777005 + 6.166666665 b = 5.002777005 + 6.166666665 Combine like terms: 5.002777005 + 6.166666665 = 11.16944367 b = 11.16944367 Simplifying b = 11.16944367

Subproblem 2

b + -6.166666665 = -5.002777005 Simplifying b + -6.166666665 = -5.002777005 Reorder the terms: -6.166666665 + b = -5.002777005 Solving -6.166666665 + b = -5.002777005 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6.166666665' to each side of the equation. -6.166666665 + 6.166666665 + b = -5.002777005 + 6.166666665 Combine like terms: -6.166666665 + 6.166666665 = 0.000000000 0.000000000 + b = -5.002777005 + 6.166666665 b = -5.002777005 + 6.166666665 Combine like terms: -5.002777005 + 6.166666665 = 1.16388966 b = 1.16388966 Simplifying b = 1.16388966

Solution

The solution to the problem is based on the solutions from the subproblems. b = {11.16944367, 1.16388966}

See similar equations:

| 8.2(x-7)=-2.96 | | 7x=17.5 | | 7(4y-3)=21y | | 54x^2-18x^2=0 | | .85714285714y=.8 | | 0.4(x+2.4)=2.96 | | 8(x-5)=2(3x-8) | | -10(z+1)+2z=3(2z+1)+1 | | 12x=6x+30 | | 2x=-3x-46 | | x+10.4=39.78 | | 7-.5P=.25P-.5 | | 44.2=y-27.9 | | 2x+18=12-6(x+7) | | -7.2(x-15.6)=-9 | | 5x+4(3x-8)=4+13x | | 14+-2Q=-2+-4Q | | 3x+63=-4x | | 8.3(x+3.1)=1 | | 4x-3x=-1x+12 | | 8(4-3g)+6(g+7)= | | .4w=1 | | .5P=7-Q | | 6a*7a= | | 16y-15+3y=80 | | 8k-20k+5=k+5 | | 0.25P=7-Q | | 4x-3x=-1x+2 | | 2(10-6)=x-8x | | 3x+x=1200 | | 0.25P=-0.5-Q | | 7y=.25 |

Equations solver categories