3b(b+4)(b-5)=

Simple and best practice solution for 3b(b+4)(b-5)= 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(b+4)(b-5)= equation: 


Simplifying
3b(b + 4)(b + -5) = 0

Reorder the terms:
3b(4 + b)(b + -5) = 0

Reorder the terms:
3b(4 + b)(-5 + b) = 0

Multiply (4 + b) * (-5 + b)
3b(4(-5 + b) + b(-5 + b)) = 0
3b((-5 * 4 + b * 4) + b(-5 + b)) = 0
3b((-20 + 4b) + b(-5 + b)) = 0
3b(-20 + 4b + (-5 * b + b * b)) = 0
3b(-20 + 4b + (-5b + b2)) = 0

Combine like terms: 4b + -5b = -1b
3b(-20 + -1b + b2) = 0
(-20 * 3b + -1b * 3b + b2 * 3b) = 0
(-60b + -3b2 + 3b3) = 0

Solving
-60b + -3b2 + 3b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-20 + -1b + b2) = 0

Factor a trinomial.
3b((-4 + -1b)(5 + -1b)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(-4 + -1b)' equal to zero and attempt to solve:

Simplifying
-4 + -1b = 0

Solving
-4 + -1b = 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 + -1b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1b = 0 + 4
-1b = 0 + 4

Combine like terms: 0 + 4 = 4
-1b = 4

Divide each side by '-1'.
b = -4

Simplifying
b = -4

Subproblem 3
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 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 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {0, -4, 5}

See similar equations:

| 4(7m+4)= | | 1.1a+1.2b+2a-0.8b= | | p=78x+250 | | 3=.02-7 | | -5(5a-3)=-4(-2a-4)-1 | | (4+x)5=45 | | -10y+18=-3(5y+-7)-8 | | -4(a-1)=8-3a | | 2x^2+196=676 | | -4(33+n)=12+3n | | 1/6a•2/3= | | -27=-3x-6 | | 9x-3y=-51 | | 27+-11x=33+-1x | | -4(n-2)=-6(6+3n)+2 | | 57.08/7.3 | | Z^2+z-42=0 | | 5(5x+2)-17(3x-4)=0 | | -4(n-2)=-6(6+3n)+3 | | 5(9+6k)-4usek=8 | | 0=-4.9t^2+9t+300 | | p=92x+180 | | ab+4a-6+ab-6= | | 17-5(-3)=x | | 2x+y=17.30 | | 3x-5(x-2)=-6+3x-9 | | 69/69/69/69/69/666*69*69kekmaster123kappa | | 11n+-7=11 | | y^2+y-4=0 | | V=u+at(u) | | -9+5*-7+2= | | 10x+5.3=29.8 |

Equations solver categories