-2u(u+5)(u+4)=0

Simple and best practice solution for -2u(u+5)(u+4)=0 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 -2u(u+5)(u+4)=0 equation: 


Simplifying
-2u(u + 5)(u + 4) = 0

Reorder the terms:
-2u(5 + u)(u + 4) = 0

Reorder the terms:
-2u(5 + u)(4 + u) = 0

Multiply (5 + u) * (4 + u)
-2u(5(4 + u) + u(4 + u)) = 0
-2u((4 * 5 + u * 5) + u(4 + u)) = 0
-2u((20 + 5u) + u(4 + u)) = 0
-2u(20 + 5u + (4 * u + u * u)) = 0
-2u(20 + 5u + (4u + u2)) = 0

Combine like terms: 5u + 4u = 9u
-2u(20 + 9u + u2) = 0
(20 * -2u + 9u * -2u + u2 * -2u) = 0
(-40u + -18u2 + -2u3) = 0

Solving
-40u + -18u2 + -2u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-2u'.
-2u(20 + 9u + u2) = 0

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

Ignore the factor -2.

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5

Subproblem 3
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

Add '-4' to each side of the equation.
4 + -4 + u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + u = 0 + -4
u = 0 + -4

Combine like terms: 0 + -4 = -4
u = -4

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

See similar equations:

| 10c=5c+20 | | 5z-4z=8 | | 2M^4+2m+1=0 | | 16m-13m=12 | | tan(-x)=-tanx | | 7s+8t+10s+12t= | | -4(-7x+5)-3x=-5(3-x) | | 3v-v=11 | | Kx+(k-1)y=0 | | m-7=3m+1 | | 5x^2+19x-68=-2 | | 11s-6s=10 | | 3x(x-1)=2(x+27) | | y+(0.025y)=160000 | | 4n^2+4n-15=0 | | 4w+8=2w | | (8t+t^2)(5t)= | | Y=-4(x-5)(x-9) | | 7(a+b+c)= | | (x^4)+2i=0 | | 2b+2a=2c+b+a | | x+5+-8=-5 | | Log(8)19=5x | | 50e^2x=125 | | 2(3x-1)-(x+5)= | | x^2+2xi-11=0 | | (4u-3)(9-u)=0 | | (-xy)dy+(x^2+y^2)dx=0 | | (7-v)(4v-5)=0 | | 5x(5-x)=0 | | 0.5*cos(2x)= | | 9+10i= |

Equations solver categories