(2w-2)(w)=112

Simple and best practice solution for (2w-2)(w)=112 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)(w)=112 equation: 


Simplifying
(2w + -2)(w) = 112

Reorder the terms:
(-2 + 2w)(w) = 112

Reorder the terms for easier multiplication:
w(-2 + 2w) = 112
(-2 * w + 2w * w) = 112
(-2w + 2w2) = 112

Solving
-2w + 2w2 = 112

Solving for variable 'w'.

Reorder the terms:
-112 + -2w + 2w2 = 112 + -112

Combine like terms: 112 + -112 = 0
-112 + -2w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + -1w + w2) = 0

Factor a trinomial.
2((-7 + -1w)(8 + -1w)) = 0

Ignore the factor 2.

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

Simplifying
-7 + -1w = 0

Solving
-7 + -1w = 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 + -1w = 0 + 7

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

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

Divide each side by '-1'.
w = -7

Simplifying
w = -7

Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

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

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

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {-7, 8}

See similar equations:

| 5m-15m=70 | | 5(x+8)-4whenx=4 | | 6(5a-b)-6(7b-7a)= | | -1/99y=0 | | a/2.4=26 | | -2/5y=-14 | | 19.54+(-2.77)+0.51= | | 5x+y=54 | | x=24+3y/8 | | (7x^4+8x^3-6)-(3x^2-9x+1)= | | x=-(-24-3y)/8 | | 3600/(62.5) | | (w-2)(w)=112 | | 2x+2.2=5.8 | | 3/5x^2+2x+3/5 | | 3/5x^2 | | x^2+y^2+2x-2y-34=0 | | x=1-1 | | 2x^2-20x-6=0 | | X+0.8y=27 | | -178/4 | | 84+96+88+x=90 | | 84+96+88+x/4=90 | | 0.8x+y=27 | | x=-(72-9/8*y) | | 25n^2-70n+49=0 | | x=-72+9y/8 | | 7x+4y=75 | | 2y+13=25 | | 11x-32=22x+24 | | c/12-7=-12 | | y=72+8x/9 |

Equations solver categories