20=b(b-8)

Simple and best practice solution for 20=b(b-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 20=b(b-8) equation:


Simplifying
20 = b(b + -8)

Reorder the terms:
20 = b(-8 + b)
20 = (-8 * b + b * b)
20 = (-8b + b2)

Solving
20 = -8b + b2

Solving for variable 'b'.

Reorder the terms:
20 + 8b + -1b2 = -8b + 8b + b2 + -1b2

Combine like terms: -8b + 8b = 0
20 + 8b + -1b2 = 0 + b2 + -1b2
20 + 8b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
20 + 8b + -1b2 = 0

Factor a trinomial.
(10 + -1b)(2 + b) = 0

Subproblem 1

Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10

Subproblem 2

Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 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 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2

Solution

b = {10, -2}

See similar equations:

| (5x-6y)(5x-6y)=0 | | -x^2-5x+7= | | 5f+5f=16+2f | | -27=9(y+3) | | 5k-3k=4k-2 | | 9x^2+181x+872=0 | | 35=-4x+7 | | z+2=6z^2 | | 6-m=5m-4m | | 4x-5=6-7x | | 5(2y+6)=-4(-5-2y)+3y | | -7x-7=21 | | 50=-100+4000-1600 | | c^2+25=10c | | h/5=215 | | 30=18+x+y | | 5x-8y=32 | | 7at^2-28a=0 | | (10r+7)(3r-4)=0 | | 28a^2-22a-30= | | -5(4y-2)=-2(3+6y) | | 5-4t=12 | | 7x^2+42x+35=0 | | 7a^2-28a=0 | | -70+-90= | | 8(1+5y)+5=13+5y | | 11(c-5)+6=5+c-54 | | 13x+5=x | | 0.4(6+0.2t^2)+1= | | 70a^2-22a-12= | | x^4-x^3-6x=0 | | 15y+30=0 |

Equations solver categories