x^2+4x-1x-5=0

Simple and best practice solution for x^2+4x-1x-5=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^2+4x-1x-5=0 equation: 


Simplifying
x2 + 4x + -1x + -5 = 0

Reorder the terms:
-5 + 4x + -1x + x2 = 0

Combine like terms: 4x + -1x = 3x
-5 + 3x + x2 = 0

Solving
-5 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x + x2 = 0 + 5
3x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3x + x2 = 5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 5 + 2.25

Combine like terms: 5 + 2.25 = 7.25
2.25 + 3x + x2 = 7.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 7.25

Calculate the square root of the right side: 2.692582404

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.692582404 and -2.692582404.


Subproblem 1
x + 1.5 = 2.692582404

Simplifying
x + 1.5 = 2.692582404

Reorder the terms:
1.5 + x = 2.692582404

Solving
1.5 + x = 2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.692582404 + -1.5
x = 2.692582404 + -1.5

Combine like terms: 2.692582404 + -1.5 = 1.192582404
x = 1.192582404

Simplifying
x = 1.192582404


Subproblem 2
x + 1.5 = -2.692582404

Simplifying
x + 1.5 = -2.692582404

Reorder the terms:
1.5 + x = -2.692582404

Solving
1.5 + x = -2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.692582404 + -1.5
x = -2.692582404 + -1.5

Combine like terms: -2.692582404 + -1.5 = -4.192582404
x = -4.192582404

Simplifying
x = -4.192582404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.192582404, -4.192582404}

See similar equations:

| 8(x+6)-5x=32+7x | | 3y-9=48 | | P/7=2.8 | | 5-x+3=-7 | | w-7.83=9.6 | | 2/3t^(-1/3) | | 8s+7t= | | x+4(x-2)=3x+4 | | 1/3(6y) | | 1/3(6y)= | | x-8/-4=-5 | | 5x-29y=-7 | | 5/6t-7=3 | | 3(6x+4)-6s=(4s+4)-16 | | 3+5u=-7 | | 2ln(x+3)-8lnx= | | 35-w=168 | | 68/3x=17/3 | | 0.6x=15+0.25x | | 4(5x-3)+3=-7 | | Y-7(y+2)=3y+13 | | 1=4xY-2 | | -4x-11=9x+15 | | x+4.7=6.38 | | 14x-23x+8*(x-1)=-1 | | -4x-11=9x+5 | | 2+4+3+2+x=x | | -2=-2*(-2-2x)-2x | | 44-77x-44*(1-x)=25 | | 5a(13a+8)=0 | | -3*(3-2x)+2x=-21 | | 11-6a=a-4 |

Equations solver categories