(9-w)(3w+8)=0

Simple and best practice solution for (9-w)(3w+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 (9-w)(3w+8)=0 equation: 


Simplifying
(9 + -1w)(3w + 8) = 0

Reorder the terms:
(9 + -1w)(8 + 3w) = 0

Multiply (9 + -1w) * (8 + 3w)
(9(8 + 3w) + -1w * (8 + 3w)) = 0
((8 * 9 + 3w * 9) + -1w * (8 + 3w)) = 0
((72 + 27w) + -1w * (8 + 3w)) = 0
(72 + 27w + (8 * -1w + 3w * -1w)) = 0
(72 + 27w + (-8w + -3w2)) = 0

Combine like terms: 27w + -8w = 19w
(72 + 19w + -3w2) = 0

Solving
72 + 19w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + -1w)(8 + 3w) = 0


Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 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 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9

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 = {9, -2.666666667}

See similar equations:

| 3-7n=-4n+12 | | 15=16x-3 | | -5x+125=0 | | -5a+3=2a+10 | | (3k-2)(3k-2)=49 | | 3=2+4x | | x+0.054=-1.802 | | 0=5x-6 | | 5a*6a= | | 8=5+2x | | 20=4x-8 | | 13x+4=56 | | 332.92=160+x(.66) | | -4y+32y-64=0 | | 3(n-5)=2 | | x^2+16x+74=10 | | -5.6+4d=2 | | 4+3(x+5)=9(7-2x) | | 76-4=9x+24 | | 9-6n=36-2n | | x^2+17x+74=10 | | 53.75=x+x(.25) | | -4y+4=-5y+9 | | 53.75=x(.25) | | (2x+1)(5x+4)= | | 2(0.1x)=4 | | 8x-(7x+3)=3 | | 8x-7x+3=3 | | 10n-2=7n-14 | | 9x^2-38x+8=0 | | 2x^3-9x+5=0 | | -51-10x=8x+21 |

Equations solver categories