2w^2+4w+74=(w+7)(w+7)

Simple and best practice solution for 2w^2+4w+74=(w+7)(w+7) 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^2+4w+74=(w+7)(w+7) equation: 


Simplifying
2w2 + 4w + 74 = (w + 7)(w + 7)

Reorder the terms:
74 + 4w + 2w2 = (w + 7)(w + 7)

Reorder the terms:
74 + 4w + 2w2 = (7 + w)(w + 7)

Reorder the terms:
74 + 4w + 2w2 = (7 + w)(7 + w)

Multiply (7 + w) * (7 + w)
74 + 4w + 2w2 = (7(7 + w) + w(7 + w))
74 + 4w + 2w2 = ((7 * 7 + w * 7) + w(7 + w))
74 + 4w + 2w2 = ((49 + 7w) + w(7 + w))
74 + 4w + 2w2 = (49 + 7w + (7 * w + w * w))
74 + 4w + 2w2 = (49 + 7w + (7w + w2))

Combine like terms: 7w + 7w = 14w
74 + 4w + 2w2 = (49 + 14w + w2)

Solving
74 + 4w + 2w2 = 49 + 14w + w2

Solving for variable 'w'.

Reorder the terms:
74 + -49 + 4w + -14w + 2w2 + -1w2 = 49 + 14w + w2 + -49 + -14w + -1w2

Combine like terms: 74 + -49 = 25
25 + 4w + -14w + 2w2 + -1w2 = 49 + 14w + w2 + -49 + -14w + -1w2

Combine like terms: 4w + -14w = -10w
25 + -10w + 2w2 + -1w2 = 49 + 14w + w2 + -49 + -14w + -1w2

Combine like terms: 2w2 + -1w2 = 1w2
25 + -10w + 1w2 = 49 + 14w + w2 + -49 + -14w + -1w2

Reorder the terms:
25 + -10w + 1w2 = 49 + -49 + 14w + -14w + w2 + -1w2

Combine like terms: 49 + -49 = 0
25 + -10w + 1w2 = 0 + 14w + -14w + w2 + -1w2
25 + -10w + 1w2 = 14w + -14w + w2 + -1w2

Combine like terms: 14w + -14w = 0
25 + -10w + 1w2 = 0 + w2 + -1w2
25 + -10w + 1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
25 + -10w + 1w2 = 0

Factor a trinomial.
(5 + -1w)(5 + -1w) = 0


Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 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 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5

Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 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 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {5, 5}

See similar equations:

| 3(x+4)=x+18 | | 3(b-4)=0 | | 16x-16y=-32 | | 3(x+4)=x+8 | | -(5n+2)=-32 | | -4+2x=14 | | 2v^2+12v+16=(v+2)(v+2) | | 9+5x=3x | | Y=8+2x-x^2 | | 5(d-7)+4d-3=3(3d-10)-2 | | 14=10y-18-2Y | | 360-4x=5x | | 8x-2y=5 | | -8(c+10)=-88 | | -5=c*7 | | 6-2= | | 61-2x=7x+17 | | 8-5r+16=-21 | | 4x^2-12x=-4x^2-3x-1 | | x/3-2=6 | | -5x=+x-1 | | 3x+9=6(x-2) | | -54-10x=10x+16 | | 2(-3)-5y=13 | | 9k+ar=r-2y | | 32=-4(3p+7) | | -1=-5x | | 2(-3)5y=13 | | 3-(2x-5)=7 | | 2(5m-6)=28 | | p-3q=10 | | 3(2a+1)-4=11 |

Equations solver categories