x(2x+2+4)=18

Simple and best practice solution for x(2x+2+4)=18 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 x(2x+2+4)=18 equation: 


Simplifying
x(2x + 2 + 4) = 18

Reorder the terms:
x(2 + 4 + 2x) = 18

Combine like terms: 2 + 4 = 6
x(6 + 2x) = 18
(6 * x + 2x * x) = 18
(6x + 2x2) = 18

Solving
6x + 2x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + 6x + 2x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
-9 + 3x + x2 = 0

Solving
-9 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 3x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 3x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + x2 = 0 + 9
3x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
3x + x2 = 9

The x term is 3x.  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.
3x + 2.25 + x2 = 9 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 9 + 2.25

Combine like terms: 9 + 2.25 = 11.25
2.25 + 3x + x2 = 11.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(x + 1.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
x + 1.5 = 3.354101966

Simplifying
x + 1.5 = 3.354101966

Reorder the terms:
1.5 + x = 3.354101966

Solving
1.5 + x = 3.354101966

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 3.354101966 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 3.354101966 + -1.5
x = 3.354101966 + -1.5

Combine like terms: 3.354101966 + -1.5 = 1.854101966
x = 1.854101966

Simplifying
x = 1.854101966


Subproblem 2
x + 1.5 = -3.354101966

Simplifying
x + 1.5 = -3.354101966

Reorder the terms:
1.5 + x = -3.354101966

Solving
1.5 + x = -3.354101966

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -3.354101966 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -3.354101966 + -1.5
x = -3.354101966 + -1.5

Combine like terms: -3.354101966 + -1.5 = -4.854101966
x = -4.854101966

Simplifying
x = -4.854101966


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.854101966, -4.854101966}
Solution
x = {1.854101966, -4.854101966}

See similar equations:

| 3x-5+4x+2= | | x^2-30=19 | | 7f-2=-9 | | 11/3=u/7 | | 3(x+10)+6=3x(x+12) | | 0.6-4[-8-(-0.3+7)]= | | -0.7(-.039-6x)=5.1x | | 5x/2-3/4=3 | | 0.64+0.41t=1.23t-0.59 | | B^2+9b= | | -6[0.3-(4+9)]= | | 4.4x+38.6=17.2-6.3x | | 10b=5b-20 | | -2x-5y=-13 | | 0.4-6[-4-(-0.1-1)]= | | y=(7c/3b)-(2ax/3b) | | 3x-5+4x+2+3x=62 | | 4x+12=2x+18 | | 2r^2-5t=1 | | 13/4+4y=8y-1/12 | | 4(1-5h)=6(5h-1) | | 2x^2-6x-260=0 | | 2ax+3by=7c | | 3x-17=6x-68 | | (105)=(3x-18) | | -3(2x-2)+x=-2x+3 | | 7(4x+1)=3x-6x | | 3p+11p= | | 7/20=1/4x | | y-0.42y=0 | | 2r*5p=10rp | | 3x-5-5(-4x)=2x+37 |

Equations solver categories