x(x+5)-4=0

Simple and best practice solution for x(x+5)-4=0 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)-4=0 equation: 


Simplifying
x(x + 5) + -4 = 0

Reorder the terms:
x(5 + x) + -4 = 0
(5 * x + x * x) + -4 = 0
(5x + x2) + -4 = 0

Reorder the terms:
-4 + 5x + x2 = 0

Solving
-4 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 5x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 5x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x + x2 = 0 + 4
5x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
5x + x2 = 4

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 = 4 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 4 + 6.25

Combine like terms: 4 + 6.25 = 10.25
6.25 + 5x + x2 = 10.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + 2.5 = 3.201562119

Simplifying
x + 2.5 = 3.201562119

Reorder the terms:
2.5 + x = 3.201562119

Solving
2.5 + x = 3.201562119

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 = 3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 3.201562119 + -2.5
x = 3.201562119 + -2.5

Combine like terms: 3.201562119 + -2.5 = 0.701562119
x = 0.701562119

Simplifying
x = 0.701562119


Subproblem 2
x + 2.5 = -3.201562119

Simplifying
x + 2.5 = -3.201562119

Reorder the terms:
2.5 + x = -3.201562119

Solving
2.5 + x = -3.201562119

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 = -3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -3.201562119 + -2.5
x = -3.201562119 + -2.5

Combine like terms: -3.201562119 + -2.5 = -5.701562119
x = -5.701562119

Simplifying
x = -5.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.701562119, -5.701562119}

See similar equations:

| 3x-15-x=23 | | x-4y=-33 | | -56=-4x | | 8x-9=60 | | 2x+17=22-x | | 10=6-3r+4r | | 1,2z+5,5=0.1z | | 5x^2+21=3-x^2 | | x/=5 | | 8(x+-8)=2x+8 | | 3x^2+125=-25 | | 3z+8=z | | d^2-d-5=0 | | x^2-3x^2=200 | | -5x+6=2(3x-8) | | 8(8x-8)=2x+8 | | -5x^2=80 | | 6x=4(2x-3) | | -3+3(m+6)= | | 3(2x+4)=2(7x-2) | | 19-2n= | | 1,2-y=y-0,2 | | 1/5x=-9 | | 2x-5=-x | | L+8=2L-20+3-4 | | 3(3x-6)=-36 | | x/7=91 | | 4e^3x=160 | | 1/3(2x-5)-2=x-2 | | 34-3y=10+y | | 5b+1=39 | | .0014=p-8.85*p^2 |

Equations solver categories