x(x+5)=2

Simple and best practice solution for x(x+5)=2 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+5)=2 equation: 


Simplifying
x(x + 5) = 2

Reorder the terms:
x(5 + x) = 2
(5 * x + x * x) = 2
(5x + x2) = 2

Solving
5x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 5x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x + x2 = 0 + 2
5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
5x + x2 = 2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 2 + 6.25

Combine like terms: 2 + 6.25 = 8.25
6.25 + 5x + x2 = 8.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 2.5 = 2.872281323

Simplifying
x + 2.5 = 2.872281323

Reorder the terms:
2.5 + x = 2.872281323

Solving
2.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.872281323 + -2.5
x = 2.872281323 + -2.5

Combine like terms: 2.872281323 + -2.5 = 0.372281323
x = 0.372281323

Simplifying
x = 0.372281323


Subproblem 2
x + 2.5 = -2.872281323

Simplifying
x + 2.5 = -2.872281323

Reorder the terms:
2.5 + x = -2.872281323

Solving
2.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.872281323 + -2.5
x = -2.872281323 + -2.5

Combine like terms: -2.872281323 + -2.5 = -5.372281323
x = -5.372281323

Simplifying
x = -5.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.372281323, -5.372281323}

See similar equations:

| 2x^2=2-5x | | -8x-15=21 | | a+2b=3a+6b | | a+2b=0 | | 19-2x=11+8x | | 121.64=26.69*x^2 | | 4-(2x-3)=(x+12)+4 | | 121.64=26.69*x | | 2+x/8=30/12 | | 18/117 | | 32/104 | | 4x+163=12x-13 | | 1/5x^2-11=13 | | -2-3/2 | | 8x-3=7x-1 | | 23q=0 | | 6t=240 | | 11f=55 | | 2/3x+5/2=0.2 | | .30x+.20(200-x)=.24(200) | | 3x+4(550-x)=1980 | | x+0.22x=303.7 | | 3-6+9/5 | | 2x+0.75y=666250 | | x+.22x=299.5 | | 2x+3=5x*4 | | 6/5x-1/11=-2 | | -2z-3=0 | | 18/84 | | S/(s-4)(s+1) | | -2=6n-10 | | 1/(s-1)(s+6) |

Equations solver categories