(2w+7)(8-w)=0

Simple and best practice solution for (2w+7)(8-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 (2w+7)(8-w)=0 equation: 


Simplifying
(2w + 7)(8 + -1w) = 0

Reorder the terms:
(7 + 2w)(8 + -1w) = 0

Multiply (7 + 2w) * (8 + -1w)
(7(8 + -1w) + 2w * (8 + -1w)) = 0
((8 * 7 + -1w * 7) + 2w * (8 + -1w)) = 0
((56 + -7w) + 2w * (8 + -1w)) = 0
(56 + -7w + (8 * 2w + -1w * 2w)) = 0
(56 + -7w + (16w + -2w2)) = 0

Combine like terms: -7w + 16w = 9w
(56 + 9w + -2w2) = 0

Solving
56 + 9w + -2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(7 + 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 '(7 + 2w)' equal to zero and attempt to solve:

Simplifying
7 + 2w = 0

Solving
7 + 2w = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 0 + -7
2w = 0 + -7

Combine like terms: 0 + -7 = -7
2w = -7

Divide each side by '2'.
w = -3.5

Simplifying
w = -3.5
Solution
w = {8, -3.5}

See similar equations:

| -2X+5=0 | | 10-7=x/4 | | 3*(3+x)=11+x | | (3x-9)(5x-15)=0 | | 190=25x | | r-4+6(2)=3+8(2) | | 3x=x+1+x+2+8 | | (x-7)(2x-10)=0 | | 17y+-8= | | -3(2n-5)=0.5(12n+30) | | 155=31c | | (-9a^3b^2)(6ab^3)= | | 3-80=5+8 | | 1.5x-y=40 | | 2(44)=g | | 4+9n=1-2 | | 4x-3*0+12=0 | | -2.75=-.042r | | 68=4q | | 3x+4x=23 | | 27x-29x=5-7 | | 50x-41-2x=15x-10 | | 4x+5=x-11 | | 3x-12x+4=0 | | -49+17=-4x+12x | | 5x-(-4-4)=10 | | 14-29n-39=4n-(7n-3) | | -3.5=-0.6u+0.1u | | x^4+6x^3+8x^2-9=0 | | x+x-14+14=82+14 | | 12-2x=3(2x+17) | | 3x-7=3x-2 |

Equations solver categories