(8-w)(4w-9)=0

Simple and best practice solution for (8-w)(4w-9)=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 (8-w)(4w-9)=0 equation: 


Simplifying
(8 + -1w)(4w + -9) = 0

Reorder the terms:
(8 + -1w)(-9 + 4w) = 0

Multiply (8 + -1w) * (-9 + 4w)
(8(-9 + 4w) + -1w * (-9 + 4w)) = 0
((-9 * 8 + 4w * 8) + -1w * (-9 + 4w)) = 0
((-72 + 32w) + -1w * (-9 + 4w)) = 0
(-72 + 32w + (-9 * -1w + 4w * -1w)) = 0
(-72 + 32w + (9w + -4w2)) = 0

Combine like terms: 32w + 9w = 41w
(-72 + 41w + -4w2) = 0

Solving
-72 + 41w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + w)(9 + -4w) = 0


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

Simplifying
-8 + w = 0

Solving
-8 + w = 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 + w = 0 + 8

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

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

Simplifying
w = 8

Subproblem 2
Set the factor '(9 + -4w)' equal to zero and attempt to solve:

Simplifying
9 + -4w = 0

Solving
9 + -4w = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4w = 0 + -9
-4w = 0 + -9

Combine like terms: 0 + -9 = -9
-4w = -9

Divide each side by '-4'.
w = 2.25

Simplifying
w = 2.25
Solution
w = {8, 2.25}

See similar equations:

| 5(x-8)=6-2(4x+1) | | 0.5(4x+2)=3 | | 2x-6=-2x-6 | | 4x+3y=0by-2 | | 3(x-5)-12=2(x-6)-12 | | 7t-9=4t-3 | | 5(x-9)=x-73 | | -18m^2+32=0 | | 4/10y-28=0 | | (v+7)(v-6)=0 | | X/.2=7 | | 306=-17n | | 6=1.5x | | 1/2=3x?=3/6 | | 4x-4=x-25 | | 1/2=3x?=3/7 | | 3m-2n= | | 3x+7(6x-8)=169 | | 42+4x= | | 1x/3=40 | | -9x^2+12x-4=o | | 3x+34=(7x-65) | | 14-v=19 | | 3x-28=6 | | e^3x=0.002 | | x^-4y^9/z^-2 | | 19n=114 | | 8y+5(2y-6)=24 | | 6(x+12)+3(x+2)= | | r+13=1 | | 2-8j=18 | | ln(x)-ln(4)=1 |

Equations solver categories