(w+1)(w+1)=2w^2-4w+10

Simple and best practice solution for (w+1)(w+1)=2w^2-4w+10 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+1)(w+1)=2w^2-4w+10 equation: 


Simplifying
(w + 1)(w + 1) = 2w2 + -4w + 10

Reorder the terms:
(1 + w)(w + 1) = 2w2 + -4w + 10

Reorder the terms:
(1 + w)(1 + w) = 2w2 + -4w + 10

Multiply (1 + w) * (1 + w)
(1(1 + w) + w(1 + w)) = 2w2 + -4w + 10
((1 * 1 + w * 1) + w(1 + w)) = 2w2 + -4w + 10
((1 + 1w) + w(1 + w)) = 2w2 + -4w + 10
(1 + 1w + (1 * w + w * w)) = 2w2 + -4w + 10
(1 + 1w + (1w + w2)) = 2w2 + -4w + 10

Combine like terms: 1w + 1w = 2w
(1 + 2w + w2) = 2w2 + -4w + 10

Reorder the terms:
1 + 2w + w2 = 10 + -4w + 2w2

Solving
1 + 2w + w2 = 10 + -4w + 2w2

Solving for variable 'w'.

Reorder the terms:
1 + -10 + 2w + 4w + w2 + -2w2 = 10 + -4w + 2w2 + -10 + 4w + -2w2

Combine like terms: 1 + -10 = -9
-9 + 2w + 4w + w2 + -2w2 = 10 + -4w + 2w2 + -10 + 4w + -2w2

Combine like terms: 2w + 4w = 6w
-9 + 6w + w2 + -2w2 = 10 + -4w + 2w2 + -10 + 4w + -2w2

Combine like terms: w2 + -2w2 = -1w2
-9 + 6w + -1w2 = 10 + -4w + 2w2 + -10 + 4w + -2w2

Reorder the terms:
-9 + 6w + -1w2 = 10 + -10 + -4w + 4w + 2w2 + -2w2

Combine like terms: 10 + -10 = 0
-9 + 6w + -1w2 = 0 + -4w + 4w + 2w2 + -2w2
-9 + 6w + -1w2 = -4w + 4w + 2w2 + -2w2

Combine like terms: -4w + 4w = 0
-9 + 6w + -1w2 = 0 + 2w2 + -2w2
-9 + 6w + -1w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
-9 + 6w + -1w2 = 0

Factor a trinomial.
(-3 + w)(3 + -1w) = 0


Subproblem 1
Set the factor '(-3 + w)' equal to zero and attempt to solve:

Simplifying
-3 + w = 0

Solving
-3 + w = 0

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

Add '3' to each side of the equation.
-3 + 3 + w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + w = 0 + 3
w = 0 + 3

Combine like terms: 0 + 3 = 3
w = 3

Simplifying
w = 3

Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {3, 3}

See similar equations:

| 7(t-3)+3t=5(2t+3)-13 | | X-5=0.75x | | 2.2=z/57 | | 0.75x=15/2 | | 0.5x-1=0.75x+4 | | 295*34/59*9/25 | | 61=v-13 | | 6x-40=12-1/2x | | h(t)=5t^2+20t+12 | | 13x+7y=19 | | ay+b= | | X/9-7=-7 | | 3x+18y=6 | | x(x+2)=x^2+x+1 | | 7=-d/5 | | -40=-5g | | 14x=45 | | 45+x=9 | | 30=-c+(-2) | | 22/25*15/2*8/33 | | -d-5=-12 | | -100=-h | | x-5=2(x+1) | | -f=-13 | | 3x/2=4/6 | | -15=h/3 | | 5x-13=12-20x | | 1-(-13)= | | 24=c/2 | | 7x-(6x+6)= | | -24=6b | | 8Z+2=2(2-5)-z |

Equations solver categories