(4w-2)(7-w)=0

Simple and best practice solution for (4w-2)(7-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 (4w-2)(7-w)=0 equation: 


Simplifying
(4w + -2)(7 + -1w) = 0

Reorder the terms:
(-2 + 4w)(7 + -1w) = 0

Multiply (-2 + 4w) * (7 + -1w)
(-2(7 + -1w) + 4w * (7 + -1w)) = 0
((7 * -2 + -1w * -2) + 4w * (7 + -1w)) = 0
((-14 + 2w) + 4w * (7 + -1w)) = 0
(-14 + 2w + (7 * 4w + -1w * 4w)) = 0
(-14 + 2w + (28w + -4w2)) = 0

Combine like terms: 2w + 28w = 30w
(-14 + 30w + -4w2) = 0

Solving
-14 + 30w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 15w + -2w2) = 0

Factor a trinomial.
2((-7 + w)(1 + -2w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + w)' equal to zero and attempt to solve:

Simplifying
-7 + w = 0

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

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

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

Simplifying
w = 7

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

Simplifying
1 + -2w = 0

Solving
1 + -2w = 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 + -2w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2w = 0 + -1
-2w = 0 + -1

Combine like terms: 0 + -1 = -1
-2w = -1

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {7, 0.5}

See similar equations:

| 2x+5=8x+15 | | 10x+12=20x+10 | | 5n+3=2n-5 | | x+.67=-.25 | | 2.3q-16+5q=38 | | 3x+24+4x=-12-x-28 | | 2x-8x-13=-6x+2-13 | | -.75x-.83=.67 | | -(3a-4)+2a-5= | | 2.25x+1.5y=75 | | 4x+-1=3x+6 | | 2n+8=3n-2 | | 10z-z=-3+6z-4 | | .3+2x=-5.1 | | -8=1+n | | .67x=.89 | | r-34=44 | | 6(2x-6)-4(x+3)-16x= | | 3x-6=3(7+2x) | | x=19 | | x^2-x+3=0 | | -34z=-136 | | x+.6667=-.25 | | 1.1(44.54)+1.5y=49 | | 3x-9=x-11 | | x-.3=-1.2 | | 12x+4+-8=2x-22 | | 2x-7=-8+x | | 6x^2=-17x-10 | | ln(2x+3)=0 | | 6w^2+19w-7=0 | | 2(x-3)=3(2x+2) |

Equations solver categories