(1-w)(3w-7)=0

Simple and best practice solution for (1-w)(3w-7)=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 (1-w)(3w-7)=0 equation: 


Simplifying
(1 + -1w)(3w + -7) = 0

Reorder the terms:
(1 + -1w)(-7 + 3w) = 0

Multiply (1 + -1w) * (-7 + 3w)
(1(-7 + 3w) + -1w * (-7 + 3w)) = 0
((-7 * 1 + 3w * 1) + -1w * (-7 + 3w)) = 0
((-7 + 3w) + -1w * (-7 + 3w)) = 0
(-7 + 3w + (-7 * -1w + 3w * -1w)) = 0
(-7 + 3w + (7w + -3w2)) = 0

Combine like terms: 3w + 7w = 10w
(-7 + 10w + -3w2) = 0

Solving
-7 + 10w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + 3w)(1 + -1w) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1w = 0 + -1

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

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

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

Simplifying
w = 1
Solution
w = {2.333333333, 1}

See similar equations:

| 4x^3=12 | | 5a+7ab=2-3b | | 1-v+v=4-v | | -8+9=33 | | 7(7-6x)=-413 | | -14-1+29-38=-5-2m-6+3m | | 4y-70=12+2 | | 9(5x+1)=5x-8x | | n^2+16=0 | | 6x+2=24 | | 2-3n=4n-12 | | 2(x+1)=3y | | 7x-10=62-2x | | 6+2x-2=8x-8 | | -9+14=2+h | | 3(5x+9)=-41+8 | | 7x-4=-2x+59 | | 0.5(5x+10)=1.1-(x+2) | | 5m-7p+2=25 | | 4x-7=-34+7x | | 3(5z-1)-3(z+4)=2(z+1) | | x^6-x^3= | | x+1=-x+15 | | 20+100-40= | | .2(x+3)-4(2x-3)=.9 | | 5x+1=-3x+97 | | 2(x+5)+x+7=5x+9 | | x^5+7= | | -3+15=3b-7-2b | | 60/40=10/16 | | -3(n-2)=3-2n | | 2.3=-7.9+y |

Equations solver categories