w(2w+6)=228

Simple and best practice solution for w(2w+6)=228 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(2w+6)=228 equation: 


Simplifying
w(2w + 6) = 228

Reorder the terms:
w(6 + 2w) = 228
(6 * w + 2w * w) = 228
(6w + 2w2) = 228

Solving
6w + 2w2 = 228

Solving for variable 'w'.

Reorder the terms:
-228 + 6w + 2w2 = 228 + -228

Combine like terms: 228 + -228 = 0
-228 + 6w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-114 + 3w + w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-114 + 3w + w2)' equal to zero and attempt to solve:

Simplifying
-114 + 3w + w2 = 0

Solving
-114 + 3w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '114' to each side of the equation.
-114 + 3w + 114 + w2 = 0 + 114

Reorder the terms:
-114 + 114 + 3w + w2 = 0 + 114

Combine like terms: -114 + 114 = 0
0 + 3w + w2 = 0 + 114
3w + w2 = 0 + 114

Combine like terms: 0 + 114 = 114
3w + w2 = 114

The w term is 3w.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3w + 2.25 + w2 = 114 + 2.25

Reorder the terms:
2.25 + 3w + w2 = 114 + 2.25

Combine like terms: 114 + 2.25 = 116.25
2.25 + 3w + w2 = 116.25

Factor a perfect square on the left side:
(w + 1.5)(w + 1.5) = 116.25

Calculate the square root of the right side: 10.781929326

Break this problem into two subproblems by setting 
(w + 1.5) equal to 10.781929326 and -10.781929326.


Subproblem 1
w + 1.5 = 10.781929326

Simplifying
w + 1.5 = 10.781929326

Reorder the terms:
1.5 + w = 10.781929326

Solving
1.5 + w = 10.781929326

Solving for variable 'w'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + w = 10.781929326 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + w = 10.781929326 + -1.5
w = 10.781929326 + -1.5

Combine like terms: 10.781929326 + -1.5 = 9.281929326
w = 9.281929326

Simplifying
w = 9.281929326


Subproblem 2
w + 1.5 = -10.781929326

Simplifying
w + 1.5 = -10.781929326

Reorder the terms:
1.5 + w = -10.781929326

Solving
1.5 + w = -10.781929326

Solving for variable 'w'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + w = -10.781929326 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + w = -10.781929326 + -1.5
w = -10.781929326 + -1.5

Combine like terms: -10.781929326 + -1.5 = -12.281929326
w = -12.281929326

Simplifying
w = -12.281929326


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {9.281929326, -12.281929326}
Solution
w = {9.281929326, -12.281929326}

See similar equations:

| x+(x*.16)=14000000 | | 5p+6r=q | | 9-2*3+u=(21-3*8)(2)+u | | 1/3(9b-39)=-9 | | 4(-8x+5)=-32x-26+20 | | 1/3(9b/ | | -8u+6(u-3)=-38 | | x+17=2x-100 | | 7x^2-8x+10=3x^2+9 | | 12a-4b+8b+2a=0 | | x^3/5=-5x^3 | | H(t)5/8t-9 | | -0.75x+0.56=-0.38x-1.13 | | 2t+6x=12 | | 2(2x+3)-4(5x-6)= | | x+(x*.16)=6000000 | | x=7x/4 | | 3/2x(x-2)-5=19 | | 7.2=u+1.5 | | 2cot(t)sin(t)-cot(t)=0 | | 7x+7=(2x+1) | | -5(3x-1)=125 | | -0.67y+0.1=0.67y+2.01 | | 2/15-(-7/15) | | -5(3x-1)=123 | | 10x-9x=(9)(x)+(2x) | | 1-x+5-2x-3=5-2x+4-x | | 6+9y-36=48y-6+3 | | -3(-k+6)=3 | | 25xy+4oxy= | | -6(8+5a)=12 | | 55555=9 |

Equations solver categories