x(x+5)=387

Simple and best practice solution for x(x+5)=387 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)=387 equation: 


Simplifying
x(x + 5) = 387

Reorder the terms:
x(5 + x) = 387
(5 * x + x * x) = 387
(5x + x2) = 387

Solving
5x + x2 = 387

Solving for variable 'x'.

Reorder the terms:
-387 + 5x + x2 = 387 + -387

Combine like terms: 387 + -387 = 0
-387 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '387' to each side of the equation.
-387 + 5x + 387 + x2 = 0 + 387

Reorder the terms:
-387 + 387 + 5x + x2 = 0 + 387

Combine like terms: -387 + 387 = 0
0 + 5x + x2 = 0 + 387
5x + x2 = 0 + 387

Combine like terms: 0 + 387 = 387
5x + x2 = 387

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 = 387 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 387 + 6.25

Combine like terms: 387 + 6.25 = 393.25
6.25 + 5x + x2 = 393.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 393.25

Calculate the square root of the right side: 19.830532015

Break this problem into two subproblems by setting 
(x + 2.5) equal to 19.830532015 and -19.830532015.


Subproblem 1
x + 2.5 = 19.830532015

Simplifying
x + 2.5 = 19.830532015

Reorder the terms:
2.5 + x = 19.830532015

Solving
2.5 + x = 19.830532015

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 = 19.830532015 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 19.830532015 + -2.5
x = 19.830532015 + -2.5

Combine like terms: 19.830532015 + -2.5 = 17.330532015
x = 17.330532015

Simplifying
x = 17.330532015


Subproblem 2
x + 2.5 = -19.830532015

Simplifying
x + 2.5 = -19.830532015

Reorder the terms:
2.5 + x = -19.830532015

Solving
2.5 + x = -19.830532015

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 = -19.830532015 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -19.830532015 + -2.5
x = -19.830532015 + -2.5

Combine like terms: -19.830532015 + -2.5 = -22.330532015
x = -22.330532015

Simplifying
x = -22.330532015


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {17.330532015, -22.330532015}

See similar equations:

| x^2+4x=46 | | x^2+y^2+2xy+x+y=0 | | 9x+x^2-225=0 | | 2v+2=3v+4 | | 9s+14s= | | t=cs | | y=5y+40 | | I=200*0.14*2 | | P=2(92)+2(125) | | x-279=239 | | D=y+v+z/3 | | 6x+18=15x-72 | | 3a^2y-6ay= | | f=9/535+32 | | 3h+11=38 | | 15b^2+10b=0 | | x-8=x/2-x-6/3 | | 2y+x=10+2x | | (p+30)+(4p-36)+p=822 | | 116=15c+11 | | (7/(27-12))+1=(-4/(y-6)) | | -4-13=11-8x | | (7/2y-12)+1=(-4/y-6) | | 5q+2q-1q= | | 1/2-78*65=436-76 | | x+x+30+2x-36=822 | | 1/1-78*65=436-76 | | 2q-1q= | | 5/3-x=13 | | 5x-56=102 | | 7x-121=3x-5 | | 5x+20=13x-28 |

Equations solver categories