x(x+18)=220

Simple and best practice solution for x(x+18)=220 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+18)=220 equation: 


Simplifying
x(x + 18) = 220

Reorder the terms:
x(18 + x) = 220
(18 * x + x * x) = 220
(18x + x2) = 220

Solving
18x + x2 = 220

Solving for variable 'x'.

Reorder the terms:
-220 + 18x + x2 = 220 + -220

Combine like terms: 220 + -220 = 0
-220 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '220' to each side of the equation.
-220 + 18x + 220 + x2 = 0 + 220

Reorder the terms:
-220 + 220 + 18x + x2 = 0 + 220

Combine like terms: -220 + 220 = 0
0 + 18x + x2 = 0 + 220
18x + x2 = 0 + 220

Combine like terms: 0 + 220 = 220
18x + x2 = 220

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = 220 + 81

Reorder the terms:
81 + 18x + x2 = 220 + 81

Combine like terms: 220 + 81 = 301
81 + 18x + x2 = 301

Factor a perfect square on the left side:
(x + 9)(x + 9) = 301

Calculate the square root of the right side: 17.349351573

Break this problem into two subproblems by setting 
(x + 9) equal to 17.349351573 and -17.349351573.


Subproblem 1
x + 9 = 17.349351573

Simplifying
x + 9 = 17.349351573

Reorder the terms:
9 + x = 17.349351573

Solving
9 + x = 17.349351573

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + x = 17.349351573 + -9

Combine like terms: 9 + -9 = 0
0 + x = 17.349351573 + -9
x = 17.349351573 + -9

Combine like terms: 17.349351573 + -9 = 8.349351573
x = 8.349351573

Simplifying
x = 8.349351573


Subproblem 2
x + 9 = -17.349351573

Simplifying
x + 9 = -17.349351573

Reorder the terms:
9 + x = -17.349351573

Solving
9 + x = -17.349351573

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + x = -17.349351573 + -9

Combine like terms: 9 + -9 = 0
0 + x = -17.349351573 + -9
x = -17.349351573 + -9

Combine like terms: -17.349351573 + -9 = -26.349351573
x = -26.349351573

Simplifying
x = -26.349351573


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.349351573, -26.349351573}

See similar equations:

| 986=x+450 | | X^3+3x^2+24x-28=0 | | b/28=1/7 | | a/18-2/9 | | 15+3x=40 | | 28y+13=26 | | X/2-7=-8 | | 12-5(x-2)= | | 32x-.8x^2=160 | | Ln(2x-1)-ln(x-5)=0 | | 7z+4=2 | | 3x^2+15x+35=0 | | 986+450=x | | x=986+450 | | 3+3y-4y=3 | | 3y-4y=0 | | 20b=70 | | 3+3y-3y=3 | | 15x-2=21x | | Y-2+(Y-4)=Y+8 | | 128=(10x+8) | | 2/7/-1/3 | | d/dx=9lnx | | -160=22+8(3p-4) | | 0.8+0.2(5)=0.3(x+5) | | 2(4t^2)=y | | 2u+17=5(u-2) | | (2x-3)/4=0 | | 3a-8a=3 | | 160450000+x+x=317350000 | | 9x+7=2x+63 | | y-3=7X+35 |

Equations solver categories