3u(u+8)(u-4)=0

Simple and best practice solution for 3u(u+8)(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 3u(u+8)(u-4)=0 equation: 


Simplifying
3u(u + 8)(u + -4) = 0

Reorder the terms:
3u(8 + u)(u + -4) = 0

Reorder the terms:
3u(8 + u)(-4 + u) = 0

Multiply (8 + u) * (-4 + u)
3u(8(-4 + u) + u(-4 + u)) = 0
3u((-4 * 8 + u * 8) + u(-4 + u)) = 0
3u((-32 + 8u) + u(-4 + u)) = 0
3u(-32 + 8u + (-4 * u + u * u)) = 0
3u(-32 + 8u + (-4u + u2)) = 0

Combine like terms: 8u + -4u = 4u
3u(-32 + 4u + u2) = 0
(-32 * 3u + 4u * 3u + u2 * 3u) = 0
(-96u + 12u2 + 3u3) = 0

Solving
-96u + 12u2 + 3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(-32 + 4u + u2) = 0

Factor a trinomial.
3u((-8 + -1u)(4 + -1u)) = 0

Ignore the factor 3.

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 '(-8 + -1u)' equal to zero and attempt to solve:

Simplifying
-8 + -1u = 0

Solving
-8 + -1u = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = 0 + 8
-1u = 0 + 8

Combine like terms: 0 + 8 = 8
-1u = 8

Divide each side by '-1'.
u = -8

Simplifying
u = -8

Subproblem 3
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 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 + -1u = 0 + -4

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

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

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

Simplifying
u = 4
Solution
u = {0, -8, 4}

See similar equations:

| 19+3(2x-1)=18-(3x-7) | | (x-2)(x+2)=100 | | 5(3r-8)=-8r-2 | | 6(2x-5)-12=15+3(x-1) | | -8/7y=24 | | 9-5(x+4)=7x-(6x+5) | | y=3/5x-1/5 | | 2(y+3)+4(y-2)=22 | | -37+y=7 | | 2x^2y^1= | | -37y=7 | | 3(3t-5)+13=4(t-3) | | 2z+3=-19 | | 8x+3=158 | | 2(b-1)=4(b+5)-10 | | 2(1+5n)=8n+18 | | 0.8x=144 | | 0.5=4/8 | | Y=-5/6x-3 | | cos(x)=3x-1 | | 144=0.8x | | -1x-3x+4x= | | 5t+13-t=3+6t-12 | | 180-(45-31)=45 | | 7=12+5h | | (logx)(256)=8 | | 3z+2= | | n+12=6-2n | | 2(6-n)=8-3n | | 16x^3-28x^2-4x=0 | | 6y+8=-3y-10 | | -2x+5+3=-x-1+12 |

Equations solver categories