2b^2+8b=-5b-20

Simple and best practice solution for 2b^2+8b=-5b-20 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 2b^2+8b=-5b-20 equation:


Simplifying
2b2 + 8b = -5b + -20

Reorder the terms:
8b + 2b2 = -5b + -20

Reorder the terms:
8b + 2b2 = -20 + -5b

Solving
8b + 2b2 = -20 + -5b

Solving for variable 'b'.

Reorder the terms:
20 + 8b + 5b + 2b2 = -20 + -5b + 20 + 5b

Combine like terms: 8b + 5b = 13b
20 + 13b + 2b2 = -20 + -5b + 20 + 5b

Reorder the terms:
20 + 13b + 2b2 = -20 + 20 + -5b + 5b

Combine like terms: -20 + 20 = 0
20 + 13b + 2b2 = 0 + -5b + 5b
20 + 13b + 2b2 = -5b + 5b

Combine like terms: -5b + 5b = 0
20 + 13b + 2b2 = 0

Factor a trinomial.
(4 + b)(5 + 2b) = 0

Subproblem 1

Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4

Subproblem 2

Set the factor '(5 + 2b)' equal to zero and attempt to solve: Simplifying 5 + 2b = 0 Solving 5 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 0 + -5 2b = 0 + -5 Combine like terms: 0 + -5 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5

Solution

b = {-4, -2.5}

See similar equations:

| 80=23-3pm | | x+1.66x=32 | | 5-3(3b-4)= | | 10k-3k-2=(k-2) | | 7+2c-4*2=-9 | | 5x+2=x+6 | | 9+5(3x+2)= | | 12x-20=2x-16-6x | | 66=2x-3(-x-7) | | 13+7p=8p+8 | | -74+3x=34+12x | | 19-5(2c-3)= | | 3x+1=7x-11 | | 7x-2x-14=-59 | | x+699=1598 | | 9y-6=7y+8 | | 4x-6=2x+20 | | 9=x-17 | | 12n+16-5n=37 | | 45+5d=20d | | x+3x-660=2416 | | 9x-21=33 | | 2x-45=x+30 | | 6c=66-5c | | 6x+20=25 | | x+3x+15=107 | | 28+7y=11y-12 | | -7*-7*-7= | | 6x+24=20 | | -8k=-10k+32 | | 6x+24=2 | | -7(-7)(-7)= |

Equations solver categories