(3w-8)(5-w)=0

Simple and best practice solution for (3w-8)(5-w)=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 (3w-8)(5-w)=0 equation: 


Simplifying
(3w + -8)(5 + -1w) = 0

Reorder the terms:
(-8 + 3w)(5 + -1w) = 0

Multiply (-8 + 3w) * (5 + -1w)
(-8(5 + -1w) + 3w * (5 + -1w)) = 0
((5 * -8 + -1w * -8) + 3w * (5 + -1w)) = 0
((-40 + 8w) + 3w * (5 + -1w)) = 0
(-40 + 8w + (5 * 3w + -1w * 3w)) = 0
(-40 + 8w + (15w + -3w2)) = 0

Combine like terms: 8w + 15w = 23w
(-40 + 23w + -3w2) = 0

Solving
-40 + 23w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + w)(8 + -3w) = 0


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

Simplifying
-5 + w = 0

Solving
-5 + w = 0

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

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

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

Combine like terms: 0 + 5 = 5
w = 5

Simplifying
w = 5

Subproblem 2
Set the factor '(8 + -3w)' equal to zero and attempt to solve:

Simplifying
8 + -3w = 0

Solving
8 + -3w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3w = 0 + -8

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

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

Divide each side by '-3'.
w = 2.666666667

Simplifying
w = 2.666666667
Solution
w = {5, 2.666666667}

See similar equations:

| 5x=80/x | | 16x^2-4x/4x | | X+8=3x-18 | | 2s+1=16 | | 6x+45=0 | | 4a+14-6a=38 | | 3+x=x+8 | | 17x+7=9x+15 | | 3u(u+4)(u+3)=0 | | 17+3d=8d-23 | | 3(a-2)+4=7 | | 138-4x=23x+24 | | 36/6(2+2+2)=n | | -625+5x^2=0 | | -4x=19-8 | | 3(x-1)(x-5)=0 | | (3y-1)(3+y)=0 | | X+2=x+6 | | 6w+26=-6-28w | | (x*(x+1))/2=28 | | 3(x-4)-1=2(2x-7) | | -10x-82=100+4x | | (z+1)(z-8)=0 | | (x+(x+1))/2=28 | | s=p+q | | x=-(-5/4*y^-1-1/2*z) | | x=(-(-5*y^-1-2*z))/4 | | p=st-q | | -5w=-3/8 | | 11x+x^2=60 | | 9x+23=3x+137 | | 3x-5=x+11 |

Equations solver categories