(2-u)(3u-8)=0

Simple and best practice solution for (2-u)(3u-8)=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 (2-u)(3u-8)=0 equation: 


Simplifying
(2 + -1u)(3u + -8) = 0

Reorder the terms:
(2 + -1u)(-8 + 3u) = 0

Multiply (2 + -1u) * (-8 + 3u)
(2(-8 + 3u) + -1u * (-8 + 3u)) = 0
((-8 * 2 + 3u * 2) + -1u * (-8 + 3u)) = 0
((-16 + 6u) + -1u * (-8 + 3u)) = 0
(-16 + 6u + (-8 * -1u + 3u * -1u)) = 0
(-16 + 6u + (8u + -3u2)) = 0

Combine like terms: 6u + 8u = 14u
(-16 + 14u + -3u2) = 0

Solving
-16 + 14u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + 3u)(2 + -1u) = 0


Subproblem 1
Set the factor '(-8 + 3u)' equal to zero and attempt to solve:

Simplifying
-8 + 3u = 0

Solving
-8 + 3u = 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 + 3u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3u = 0 + 8
3u = 0 + 8

Combine like terms: 0 + 8 = 8
3u = 8

Divide each side by '3'.
u = 2.666666667

Simplifying
u = 2.666666667

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

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {2.666666667, 2}

See similar equations:

| a/3=-13 | | 7(x+1)+3=8x-4 | | 3x+ix=0 | | -19b=-285 | | -26+4x=-52+18x | | x:2+x:3=5 | | 7x-5y=39e | | y=-0.8x+5.6 | | 3h=42 | | 17/5 | | v+14=15 | | 3x-4x+x=-2+5-2 | | 3a+9=3a-9 | | -3y(-4)=32+4+4 | | -3t^2+12t+2=0 | | 4+2(x-4)=6 | | 5(4)+12(2)= | | y^2+20y+19=0 | | -3+x=-4x-43 | | 0=x^2-14x-120 | | 11-c=16 | | 6((p+5)(p+5))((p+5)(p+5))-7(p+5)(p+5)+2=0 | | -7(b+4)=-84 | | -8sin(2t)+cos(t)=0 | | 7.5x-6.8y+3.5=0 | | [[7]/[11]]=[[x]/[13]] | | (7x+2)+(5x+6)+(4x+2)+5x=35 | | 15n+p= | | 4(-4+7x)-4x=-160 | | (3y+1)(2y^2+5y-3)= | | 35x+8*35x+8=5 | | (7x+2)+(5x+6)+(4x+2)+(5x)=35 |

Equations solver categories