(12+2w)(8+2w)=140

Simple and best practice solution for (12+2w)(8+2w)=140 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 (12+2w)(8+2w)=140 equation: 


Simplifying
(12 + 2w)(8 + 2w) = 140

Multiply (12 + 2w) * (8 + 2w)
(12(8 + 2w) + 2w * (8 + 2w)) = 140
((8 * 12 + 2w * 12) + 2w * (8 + 2w)) = 140
((96 + 24w) + 2w * (8 + 2w)) = 140
(96 + 24w + (8 * 2w + 2w * 2w)) = 140
(96 + 24w + (16w + 4w2)) = 140

Combine like terms: 24w + 16w = 40w
(96 + 40w + 4w2) = 140

Solving
96 + 40w + 4w2 = 140

Solving for variable 'w'.

Reorder the terms:
96 + -140 + 40w + 4w2 = 140 + -140

Combine like terms: 96 + -140 = -44
-44 + 40w + 4w2 = 140 + -140

Combine like terms: 140 + -140 = 0
-44 + 40w + 4w2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + 10w + w2) = 0

Factor a trinomial.
4((-11 + -1w)(1 + -1w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-11 + -1w)' equal to zero and attempt to solve:

Simplifying
-11 + -1w = 0

Solving
-11 + -1w = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1w = 0 + 11
-1w = 0 + 11

Combine like terms: 0 + 11 = 11
-1w = 11

Divide each side by '-1'.
w = -11

Simplifying
w = -11

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

Simplifying
1 + -1w = 0

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

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

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

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

Simplifying
w = 1
Solution
w = {-11, 1}

See similar equations:

| 4c-4b+2c=0 | | (2h+3)(2h^2+3h+4)= | | 3x=x-19 | | p=45-3p | | 240000(1-6/30) | | 5(2a-3)=7a+6 | | 4(w^2+10w+13)=0 | | 5a-3c=2a+7c | | 4a-5+3a=5a+7 | | 185000=210000(1-x/25) | | 3a+2=-13 | | (12+2w)(8+2w)=44 | | x=-2/3y | | 2x+2=2x | | 113-3x=15x+7 | | 3x-15y=30 | | 6x+6=-26-10 | | x^2+0.45x-0.17857=0 | | x^2-2=5/x^2 | | 2x^3-15x^2+2x-15=0 | | 0.004x-(256/(x^2))=0 | | x+1/6+2x-6/3=x-1/2 | | (X+3)(x-5)=1-2x | | 2.22x+4.91x^2=2.00 | | 5n-1=2n+q | | 4n-11=13 | | 5(n+3)= | | -2ac*4bd= | | 3x+2y=560 | | (p+7)(p-4)= | | 18b^2+4b-3= | | 3x+6y=1 |

Equations solver categories