(3w-7)(w+8)=0

Simple and best practice solution for (3w-7)(w+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 (3w-7)(w+8)=0 equation: 


Simplifying
(3w + -7)(w + 8) = 0

Reorder the terms:
(-7 + 3w)(w + 8) = 0

Reorder the terms:
(-7 + 3w)(8 + w) = 0

Multiply (-7 + 3w) * (8 + w)
(-7(8 + w) + 3w * (8 + w)) = 0
((8 * -7 + w * -7) + 3w * (8 + w)) = 0
((-56 + -7w) + 3w * (8 + w)) = 0
(-56 + -7w + (8 * 3w + w * 3w)) = 0
(-56 + -7w + (24w + 3w2)) = 0

Combine like terms: -7w + 24w = 17w
(-56 + 17w + 3w2) = 0

Solving
-56 + 17w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + -1w)(7 + -3w) = 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 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -3w = 0

Solving
7 + -3w = 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 + -3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 0 + -7
-3w = 0 + -7

Combine like terms: 0 + -7 = -7
-3w = -7

Divide each side by '-3'.
w = 2.333333333

Simplifying
w = 2.333333333
Solution
w = {-8, 2.333333333}

See similar equations:

| 5/3^3 | | 0=-X^2-X+3.55 | | 3/5^-3 | | (5x-10)=40+3x | | 10x+18y=442 | | x(4+x)=33 | | 15-2=4 | | 48x^2-56x^2-192x= | | a(x)=6-1500/x | | log(x)(49)=2 | | Y+12=10 | | .5=.5*x | | h/12-5=-7 | | (x-2)-25= | | (3x-6)+7=4(x+7) | | 10-1/4x=10 | | 0.18(y-2)+0.16y=0.02y-0.07(20) | | 12-1/3x=15 | | 1/3x-2=-8 | | Shrek+x=9 | | x=shrek | | 16/(6-1-1) | | 0.18(y-6)+0.06=0.16y-0.03(40) | | -X^2+(3.55-X)-10=0 | | -2b/3=-6 | | 3x-5=-12 | | ln(3x-2)=8 | | (6c-7)(4c-1)=0 | | 3x^2+22x-2=0 | | 1(x-1)=0 | | (1/3)(9)³ | | ax+4b=z |

Equations solver categories