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

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


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

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

Multiply (-2 + 3u) * (8 + -1u)
(-2(8 + -1u) + 3u * (8 + -1u)) = 0
((8 * -2 + -1u * -2) + 3u * (8 + -1u)) = 0
((-16 + 2u) + 3u * (8 + -1u)) = 0
(-16 + 2u + (8 * 3u + -1u * 3u)) = 0
(-16 + 2u + (24u + -3u2)) = 0

Combine like terms: 2u + 24u = 26u
(-16 + 26u + -3u2) = 0

Solving
-16 + 26u + -3u2 = 0

Solving for variable 'u'.

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


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

Simplifying
-8 + u = 0

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

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

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

Simplifying
u = 8

Subproblem 2
Set the factor '(2 + -3u)' equal to zero and attempt to solve:

Simplifying
2 + -3u = 0

Solving
2 + -3u = 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 + -3u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3u = 0 + -2
-3u = 0 + -2

Combine like terms: 0 + -2 = -2
-3u = -2

Divide each side by '-3'.
u = 0.6666666667

Simplifying
u = 0.6666666667
Solution
u = {8, 0.6666666667}

See similar equations:

| 12+8y+2x+12x-10y+8= | | -20-r=-4 | | 3x+34=2x+3 | | 3(y-7)+2y=20 | | -4(r+8)=-62 | | 0.58n=7.54 | | 22Xu=78 | | 2(v-6)+6v=28 | | 2-(x+4)=-8 | | 34=27 | | 6/15=3/x= | | 3k+3=k+5 | | 49m=14 | | 5(x-6)+2=7x+-6 | | D-6.24=8.9 | | 2n+9=3 | | f(x)=3x/4x-8 | | 21x=36 | | -41+-18f=355 | | 13x-8x=17-8 | | 18b^3-12b+24=0 | | x=30+-1.5y | | 2x^2+8x=2x^2+5x+3 | | 7y/2=28 | | 6b+7=22 | | 7-4x=7(1+7x) | | 6p^2+10p-4=0 | | 13+3r=40 | | 35p=4 | | x-5=12+x+45x | | 7/5y=49 | | g(7)=-3x+1 |

Equations solver categories