(w+7)(w+7)=2w^2+11w+39

Simple and best practice solution for (w+7)(w+7)=2w^2+11w+39 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 (w+7)(w+7)=2w^2+11w+39 equation: 


Simplifying
(w + 7)(w + 7) = 2w2 + 11w + 39

Reorder the terms:
(7 + w)(w + 7) = 2w2 + 11w + 39

Reorder the terms:
(7 + w)(7 + w) = 2w2 + 11w + 39

Multiply (7 + w) * (7 + w)
(7(7 + w) + w(7 + w)) = 2w2 + 11w + 39
((7 * 7 + w * 7) + w(7 + w)) = 2w2 + 11w + 39
((49 + 7w) + w(7 + w)) = 2w2 + 11w + 39
(49 + 7w + (7 * w + w * w)) = 2w2 + 11w + 39
(49 + 7w + (7w + w2)) = 2w2 + 11w + 39

Combine like terms: 7w + 7w = 14w
(49 + 14w + w2) = 2w2 + 11w + 39

Reorder the terms:
49 + 14w + w2 = 39 + 11w + 2w2

Solving
49 + 14w + w2 = 39 + 11w + 2w2

Solving for variable 'w'.

Reorder the terms:
49 + -39 + 14w + -11w + w2 + -2w2 = 39 + 11w + 2w2 + -39 + -11w + -2w2

Combine like terms: 49 + -39 = 10
10 + 14w + -11w + w2 + -2w2 = 39 + 11w + 2w2 + -39 + -11w + -2w2

Combine like terms: 14w + -11w = 3w
10 + 3w + w2 + -2w2 = 39 + 11w + 2w2 + -39 + -11w + -2w2

Combine like terms: w2 + -2w2 = -1w2
10 + 3w + -1w2 = 39 + 11w + 2w2 + -39 + -11w + -2w2

Reorder the terms:
10 + 3w + -1w2 = 39 + -39 + 11w + -11w + 2w2 + -2w2

Combine like terms: 39 + -39 = 0
10 + 3w + -1w2 = 0 + 11w + -11w + 2w2 + -2w2
10 + 3w + -1w2 = 11w + -11w + 2w2 + -2w2

Combine like terms: 11w + -11w = 0
10 + 3w + -1w2 = 0 + 2w2 + -2w2
10 + 3w + -1w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
10 + 3w + -1w2 = 0

Factor a trinomial.
(5 + -1w)(2 + w) = 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 '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

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

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

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

Simplifying
w = -2
Solution
w = {5, -2}

See similar equations:

| 6(-6v+2)=40-8v | | 2(2y+1)-3(y-5)=18 | | 7(2-7k)+1=15-k | | s-9=20 | | 4y-5+y+16=7y+20-5y | | -7(n-9)=-8n | | 4n+4(-3n-1)=-4-3n | | 3x-3+2x-1+3x=180 | | 6(n-5)=7n-24 | | 9x-99=(-2x)+88 | | 2(x-3)=(2x+2) | | 3x^3+6x^2+3x-16=0 | | 5x+9-2x=45 | | 8(1-8v)=8-6v | | x+2.5=5.2 | | -21-8k=-3(4k+6)+k | | 30-6x=-3(6x-2) | | (x-5)/7=1-x/5 | | x^2+167x=6761 | | x+55+2x-45=180 | | -72-12x=93-x | | -19+4x=1+7(5x+6) | | x+55=2x-45 | | 3(a+8)=(6a+4)-3a | | 15+3n=-6(n+4)+3 | | 4xy(5y+3xy)= | | 3x^3-x=4.5 | | -23-4p=7(p-8) | | 94=(13x-5) | | 6(3x-7)=18x-42 | | -4-2x+x^2=0 | | -9d-8=-4(d+2)5d |

Equations solver categories