5(b+4)6b=-24

Simple and best practice solution for 5(b+4)6b=-24 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 5(b+4)6b=-24 equation: 


Simplifying
5(b + 4) * 6b = -24

Reorder the terms:
5(4 + b) * 6b = -24

Reorder the terms for easier multiplication:
5 * 6b(4 + b) = -24

Multiply 5 * 6
30b(4 + b) = -24
(4 * 30b + b * 30b) = -24
(120b + 30b2) = -24

Solving
120b + 30b2 = -24

Solving for variable 'b'.

Reorder the terms:
24 + 120b + 30b2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 120b + 30b2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + 20b + 5b2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + 20b + 5b2)' equal to zero and attempt to solve:

Simplifying
4 + 20b + 5b2 = 0

Solving
4 + 20b + 5b2 = 0

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

Divide each side by '5'.
0.8 + 4b + b2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 4b + -0.8 + b2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + 4b + b2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 4b + b2 = 0 + -0.8
4b + b2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
4b + b2 = -0.8

The b term is 4b.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4b + 4 + b2 = -0.8 + 4

Reorder the terms:
4 + 4b + b2 = -0.8 + 4

Combine like terms: -0.8 + 4 = 3.2
4 + 4b + b2 = 3.2

Factor a perfect square on the left side:
(b + 2)(b + 2) = 3.2

Calculate the square root of the right side: 1.788854382

Break this problem into two subproblems by setting 
(b + 2) equal to 1.788854382 and -1.788854382.


Subproblem 1
b + 2 = 1.788854382

Simplifying
b + 2 = 1.788854382

Reorder the terms:
2 + b = 1.788854382

Solving
2 + b = 1.788854382

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + b = 1.788854382 + -2

Combine like terms: 2 + -2 = 0
0 + b = 1.788854382 + -2
b = 1.788854382 + -2

Combine like terms: 1.788854382 + -2 = -0.211145618
b = -0.211145618

Simplifying
b = -0.211145618


Subproblem 2
b + 2 = -1.788854382

Simplifying
b + 2 = -1.788854382

Reorder the terms:
2 + b = -1.788854382

Solving
2 + b = -1.788854382

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + b = -1.788854382 + -2

Combine like terms: 2 + -2 = 0
0 + b = -1.788854382 + -2
b = -1.788854382 + -2

Combine like terms: -1.788854382 + -2 = -3.788854382
b = -3.788854382

Simplifying
b = -3.788854382


Solution
The solution to the problem is based on the solutions
from the subproblems.
b = {-0.211145618, -3.788854382}
Solution
b = {-0.211145618, -3.788854382}

See similar equations:

| 6(1-x)+4x=-2(x+1)+5 | | 2.5+2.5+x+x=2.5xx | | 4(c-5)=a+b | | 35x^2y^2+9xy-2=0 | | -14=2n+1+3n | | 28-0.3y=0.3y-12 | | 12x^2-12-x^3+x=0 | | 6z-7=2z-z | | 17x-7=50 | | 3x+8x-121=77 | | 3(5-3(x-4))=2x+9 | | 2y^2-11y-5=0 | | 3a+4b=30 | | 3(9+2x)=10x-5 | | -2(4-x)=6+3x | | 4x=33 | | -2(4-x)=6+3 | | 5.4a+8.2=9.8a-2.8 | | x+28=80 | | 3(2x-6)=-3x-10+7x+4 | | 18+18+2.25+2.25= | | lnx+ln(x-2)=5 | | lnx+ln(x-5)=5 | | 6-m=5m+3m | | 7x-76-15x=164 | | 16-7m=5m+9 | | 8x^4+0x^3+5x^2-3=0 | | 16x^2-1=y | | 18+18+x+x=18xx | | 4x+x=-1.8 | | 3c-2(c+2)=13-2(2c-5) | | -65+11x-8x=46 |

Equations solver categories