2w^2+11w+21=(w+7)2

Simple and best practice solution for 2w^2+11w+21=(w+7)2 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+11w+21=(w+7)2 equation: 


Simplifying
2w2 + 11w + 21 = (w + 7) * 2

Reorder the terms:
21 + 11w + 2w2 = (w + 7) * 2

Reorder the terms:
21 + 11w + 2w2 = (7 + w) * 2

Reorder the terms for easier multiplication:
21 + 11w + 2w2 = 2(7 + w)
21 + 11w + 2w2 = (7 * 2 + w * 2)
21 + 11w + 2w2 = (14 + 2w)

Solving
21 + 11w + 2w2 = 14 + 2w

Solving for variable 'w'.

Reorder the terms:
21 + -14 + 11w + -2w + 2w2 = 14 + 2w + -14 + -2w

Combine like terms: 21 + -14 = 7
7 + 11w + -2w + 2w2 = 14 + 2w + -14 + -2w

Combine like terms: 11w + -2w = 9w
7 + 9w + 2w2 = 14 + 2w + -14 + -2w

Reorder the terms:
7 + 9w + 2w2 = 14 + -14 + 2w + -2w

Combine like terms: 14 + -14 = 0
7 + 9w + 2w2 = 0 + 2w + -2w
7 + 9w + 2w2 = 2w + -2w

Combine like terms: 2w + -2w = 0
7 + 9w + 2w2 = 0

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


Subproblem 1
Set the factor '(7 + 2w)' equal to zero and attempt to solve:

Simplifying
7 + 2w = 0

Solving
7 + 2w = 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 + 2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 0 + -7
2w = 0 + -7

Combine like terms: 0 + -7 = -7
2w = -7

Divide each side by '2'.
w = -3.5

Simplifying
w = -3.5

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

Simplifying
1 + w = 0

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

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

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

Simplifying
w = -1
Solution
w = {-3.5, -1}

See similar equations:

| 9p-11=-3 | | |3x-2|=24 | | -44=4k | | 9p-11=3p+7 | | 16n+21=12n-15 | | 5v^2+v-4=0 | | 4=-5+r | | (3x-1)*(2x+7)-(x+1)*(6x-5)=16 | | 11=9y-4y-4 | | 2p+3a=1.70 | | 6=-2+f | | 3b-4b=0 | | -9=n+7 | | 14+2x+2y=7 | | z=2+2i | | 14+2(X+Y)=7 | | 2x-[3-(5x-10)]=21+8x | | 9x-5y=-12 | | 7z+8=-16 | | 18-2x=2x+7 | | 2x-7/12=x-5/4 | | 17x-8=5x+4 | | 5d+11=8d-9 | | 42+90=x | | 5+9x=7x+11 | | x-h=r | | 4a-9=3w-1 | | -83=-8(7+4x)+5x | | 4x^2+4x+16=0 | | m=8+n | | (3ab)(-5ab)=-15a^2b^2 | | 7n+2(2n+7)=91 |

Equations solver categories