(8-w)(2w+9)=0

Simple and best practice solution for (8-w)(2w+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)(2w+9)=0 equation: 


Simplifying
(8 + -1w)(2w + 9) = 0

Reorder the terms:
(8 + -1w)(9 + 2w) = 0

Multiply (8 + -1w) * (9 + 2w)
(8(9 + 2w) + -1w * (9 + 2w)) = 0
((9 * 8 + 2w * 8) + -1w * (9 + 2w)) = 0
((72 + 16w) + -1w * (9 + 2w)) = 0
(72 + 16w + (9 * -1w + 2w * -1w)) = 0
(72 + 16w + (-9w + -2w2)) = 0

Combine like terms: 16w + -9w = 7w
(72 + 7w + -2w2) = 0

Solving
72 + 7w + -2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(9 + 2w) = 0


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

Simplifying
8 + -1w = 0

Solving
8 + -1w = 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 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8

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

Simplifying
9 + 2w = 0

Solving
9 + 2w = 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 + 2w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2w = 0 + -9
2w = 0 + -9

Combine like terms: 0 + -9 = -9
2w = -9

Divide each side by '2'.
w = -4.5

Simplifying
w = -4.5
Solution
w = {8, -4.5}

See similar equations:

| -7x-7=2x+11 | | 6x-(3+8x)=-11 | | 0.004(8-k)+0.08(k-6)=1 | | x+x+x+x=-20 | | 3-24x=8 | | (5v-9)(7+v)=0 | | 36-(-12)= | | 0.009(7-k)+0.08(k-2)=1 | | 8x-3y=17 | | 25x^2+20+4= | | 725+10.5x=2500 | | 4x+4x=24 | | x^2+4x-26=0 | | 2x+5x+4=32 | | -29-(-11)= | | 0.14x+0.6(x-5)=0.01(3x-2) | | 8x+40=4x+68 | | -6+5x=44 | | 15x-6=45x+12 | | 4-x=2-3x | | (2x-7)(4x+2)= | | 0.15x+0.7(x-4)=0.01(5x-2) | | 8x+4=6x+30 | | 15x-2=30x+3 | | 5x-8=4-7x | | 4n-(7-6n)= | | 6x+2.5=5.5 | | 5+1.5(2x-1)=0.5 | | 6y+9=8y-5 | | (16u^2q^8)(-4u^6q^9)= | | x+(x+30)+(2*x)=162 | | 20(x^2-1)=9x |

Equations solver categories