(2w+17)(2w+13)=396

Simple and best practice solution for (2w+17)(2w+13)=396 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+17)(2w+13)=396 equation: 


Simplifying
(2w + 17)(2w + 13) = 396

Reorder the terms:
(17 + 2w)(2w + 13) = 396

Reorder the terms:
(17 + 2w)(13 + 2w) = 396

Multiply (17 + 2w) * (13 + 2w)
(17(13 + 2w) + 2w * (13 + 2w)) = 396
((13 * 17 + 2w * 17) + 2w * (13 + 2w)) = 396
((221 + 34w) + 2w * (13 + 2w)) = 396
(221 + 34w + (13 * 2w + 2w * 2w)) = 396
(221 + 34w + (26w + 4w2)) = 396

Combine like terms: 34w + 26w = 60w
(221 + 60w + 4w2) = 396

Solving
221 + 60w + 4w2 = 396

Solving for variable 'w'.

Reorder the terms:
221 + -396 + 60w + 4w2 = 396 + -396

Combine like terms: 221 + -396 = -175
-175 + 60w + 4w2 = 396 + -396

Combine like terms: 396 + -396 = 0
-175 + 60w + 4w2 = 0

Factor a trinomial.
(-35 + -2w)(5 + -2w) = 0


Subproblem 1
Set the factor '(-35 + -2w)' equal to zero and attempt to solve:

Simplifying
-35 + -2w = 0

Solving
-35 + -2w = 0

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

Add '35' to each side of the equation.
-35 + 35 + -2w = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -2w = 0 + 35
-2w = 0 + 35

Combine like terms: 0 + 35 = 35
-2w = 35

Divide each side by '-2'.
w = -17.5

Simplifying
w = -17.5

Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 0 + -5
-2w = 0 + -5

Combine like terms: 0 + -5 = -5
-2w = -5

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5
Solution
w = {-17.5, 2.5}

See similar equations:

| 13y+8=8+12y | | 4x+2=5x-e | | 3m+(2m+16)+(m-10)=150 | | 3x-6=-7x+34 | | x+100=2x+94 | | 2y+86=y+94 | | 36x=12x-60 | | 6x+20=7x+17 | | 1.2m-1.7=8+0.7m | | 5-3-15=10 | | 4N+12=6N-18 | | 16a^2/2a | | 2(3x+1)+5(x-2)=0 | | 16a^@/2a | | 20x=280-8x | | 4(3y-x)=10 | | 56-8y=24 | | 12+6x=6x-4*2 | | f(x)=x^2-9x+8 | | X-3y=y*5 | | 20x=480-12x | | (y+4)(y-9)=0 | | 2+(3x+3)=6x | | 8x+19=5x+5*2 | | Y^2=-4y+12 | | 3x^2+-11x+-20=0 | | 8x+19=5x+5 | | log(2x)-log(x-3)=3 | | 6x-2x+3x= | | 22x+4=10x+5*2 | | 28x^2-32x=0 | | 3(x+7)=2x-3 |

Equations solver categories