x(x+4)=198

Simple and best practice solution for x(x+4)=198 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+4)=198 equation: 


Simplifying
x(x + 4) = 198

Reorder the terms:
x(4 + x) = 198
(4 * x + x * x) = 198
(4x + x2) = 198

Solving
4x + x2 = 198

Solving for variable 'x'.

Reorder the terms:
-198 + 4x + x2 = 198 + -198

Combine like terms: 198 + -198 = 0
-198 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '198' to each side of the equation.
-198 + 4x + 198 + x2 = 0 + 198

Reorder the terms:
-198 + 198 + 4x + x2 = 0 + 198

Combine like terms: -198 + 198 = 0
0 + 4x + x2 = 0 + 198
4x + x2 = 0 + 198

Combine like terms: 0 + 198 = 198
4x + x2 = 198

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 198 + 4

Reorder the terms:
4 + 4x + x2 = 198 + 4

Combine like terms: 198 + 4 = 202
4 + 4x + x2 = 202

Factor a perfect square on the left side:
(x + 2)(x + 2) = 202

Calculate the square root of the right side: 14.212670404

Break this problem into two subproblems by setting 
(x + 2) equal to 14.212670404 and -14.212670404.


Subproblem 1
x + 2 = 14.212670404

Simplifying
x + 2 = 14.212670404

Reorder the terms:
2 + x = 14.212670404

Solving
2 + x = 14.212670404

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 14.212670404 + -2

Combine like terms: 2 + -2 = 0
0 + x = 14.212670404 + -2
x = 14.212670404 + -2

Combine like terms: 14.212670404 + -2 = 12.212670404
x = 12.212670404

Simplifying
x = 12.212670404


Subproblem 2
x + 2 = -14.212670404

Simplifying
x + 2 = -14.212670404

Reorder the terms:
2 + x = -14.212670404

Solving
2 + x = -14.212670404

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -14.212670404 + -2

Combine like terms: 2 + -2 = 0
0 + x = -14.212670404 + -2
x = -14.212670404 + -2

Combine like terms: -14.212670404 + -2 = -16.212670404
x = -16.212670404

Simplifying
x = -16.212670404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.212670404, -16.212670404}

See similar equations:

| 3/x-8/-x | | 16=-2/3(-12)+b | | (6x-2)/4=22 | | 51-3y=y | | x+(x+31.8)+(x+31.8)+25.7=197.3 | | 6ln(5x+4)=25 | | x^2+y^2-12x+8y+32=0 | | (x+230)+(x)=(740) | | 1p+(-4p+1)=4 | | 9/x=x/4 | | 5(5x-9)=55x | | x+(-2x)= | | x=7(-2) | | (6-w)(4w+7)=0 | | 4-12=-5s+51 | | s-7=-9 | | 1(-1)+(-4-1+1)=4 | | (x+8)+(x)=(32) | | (-2)=7 | | x^2y-3xy+4x=0 | | (-7ab)(-4a)(-ab)= | | 110/312 | | 7/n=3.5/100 | | r-17=-21 | | 10x+3y=245 | | 23-6p=-7 | | y/12=12/144 | | 4c+6=50 | | log27n=2/3 | | (4)-2y=-8 | | -21+17= | | (2)-2y=-8 |

Equations solver categories