x(x+6)=36

Simple and best practice solution for x(x+6)=36 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(x+6)=36 equation: 


Simplifying
x(x + 6) = 36

Reorder the terms:
x(6 + x) = 36
(6 * x + x * x) = 36
(6x + x2) = 36

Solving
6x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 6x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + 6x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + 6x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 6x + x2 = 0 + 36
6x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
6x + x2 = 36

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 36 + 9

Reorder the terms:
9 + 6x + x2 = 36 + 9

Combine like terms: 36 + 9 = 45
9 + 6x + x2 = 45

Factor a perfect square on the left side:
(x + 3)(x + 3) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(x + 3) equal to 6.708203933 and -6.708203933.


Subproblem 1
x + 3 = 6.708203933

Simplifying
x + 3 = 6.708203933

Reorder the terms:
3 + x = 6.708203933

Solving
3 + x = 6.708203933

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 6.708203933 + -3

Combine like terms: 3 + -3 = 0
0 + x = 6.708203933 + -3
x = 6.708203933 + -3

Combine like terms: 6.708203933 + -3 = 3.708203933
x = 3.708203933

Simplifying
x = 3.708203933


Subproblem 2
x + 3 = -6.708203933

Simplifying
x + 3 = -6.708203933

Reorder the terms:
3 + x = -6.708203933

Solving
3 + x = -6.708203933

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -6.708203933 + -3

Combine like terms: 3 + -3 = 0
0 + x = -6.708203933 + -3
x = -6.708203933 + -3

Combine like terms: -6.708203933 + -3 = -9.708203933
x = -9.708203933

Simplifying
x = -9.708203933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.708203933, -9.708203933}

See similar equations:

| 6+7x=2x-39 | | 20=0.0178x^2+1.5x+16 | | -7f-15=-11f+37 | | .2x=1.2x+10 | | (X+7)(7x-1)=43+5x^2 | | 7x-8=x+5 | | (x+2)*2=x*x+6 | | 9x-9-8-1=180 | | x^4+4x^3+4x^2=16x | | -6x=162 | | 5x-19-14-7=180 | | 2(x-5)+8=3(1-x) | | 4x^2+27x-3=21-2x | | x^4+4x^3+4x^2=16 | | 3z-1=3z+3 | | 5/a=7/5 | | (x-6)(x+2)(x+7)=0 | | k=9(3.14)n | | (x^2-7x-11)/(x-8) | | 6t-12=144 | | -4(3-2x)=2(10-8x) | | a(a+4)=71.69 | | -a/6=24 | | 3t^2-12t+2=0 | | 9/20 | | 0.3x=1720 | | 8x^2=12x-3 | | =3x^3+24x^2+48x | | 8u^2-53u+30= | | 32-y=7 | | 15q+32+17=180 | | 6c-38+28+32=180 |

Equations solver categories