2w^2+10w+8=w^2+2w+1

Simple and best practice solution for 2w^2+10w+8=w^2+2w+1 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+10w+8=w^2+2w+1 equation: 


Simplifying
2w2 + 10w + 8 = w2 + 2w + 1

Reorder the terms:
8 + 10w + 2w2 = w2 + 2w + 1

Reorder the terms:
8 + 10w + 2w2 = 1 + 2w + w2

Solving
8 + 10w + 2w2 = 1 + 2w + w2

Solving for variable 'w'.

Reorder the terms:
8 + -1 + 10w + -2w + 2w2 + -1w2 = 1 + 2w + w2 + -1 + -2w + -1w2

Combine like terms: 8 + -1 = 7
7 + 10w + -2w + 2w2 + -1w2 = 1 + 2w + w2 + -1 + -2w + -1w2

Combine like terms: 10w + -2w = 8w
7 + 8w + 2w2 + -1w2 = 1 + 2w + w2 + -1 + -2w + -1w2

Combine like terms: 2w2 + -1w2 = 1w2
7 + 8w + 1w2 = 1 + 2w + w2 + -1 + -2w + -1w2

Reorder the terms:
7 + 8w + 1w2 = 1 + -1 + 2w + -2w + w2 + -1w2

Combine like terms: 1 + -1 = 0
7 + 8w + 1w2 = 0 + 2w + -2w + w2 + -1w2
7 + 8w + 1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
7 + 8w + 1w2 = 0 + w2 + -1w2
7 + 8w + 1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
7 + 8w + 1w2 = 0

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


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 + 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 = {-7, -1}

See similar equations:

| 8x+9x+5=20x-32 | | 49x^3=100x | | -3(x+5)=5(x+6) | | 60-3t= | | -3(6-5d)=-18 | | 12b=3 | | 200-6x=140-6x-4x | | x=(-4i)(6i) | | 20x+4=14x | | 57x+67=70 | | 0=-0.3x^2+75x-2000 | | 180=(2x-4)+(3x+5)+(2x+11) | | y=-0.3x^2+75x-2000 | | -60=-6p | | -(8x-4)-(2x-2)+3=-8(x-8)-(6x+7)+5 | | 64x^3=225x | | .5x+4=10y | | 11=xover-5+8 | | 4x+9x-6=0 | | -2(3-2r)=12 | | 12=i-12 | | 2x-4=2(6-7r) | | 7(8z-9)=-29 | | 65r=21 | | X-4=19-2x | | x^2+7x-1x=0 | | 8x + 2y = 1 | | -22=-11m | | 8y+4x=40 | | 1-m=6+-6m | | 23+m=40 | | (18y+5)=(10x-61) |

Equations solver categories