x^2-5x-60=0

Simple and best practice solution for x^2-5x-60=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^2-5x-60=0 equation: 


Simplifying
x2 + -5x + -60 = 0

Reorder the terms:
-60 + -5x + x2 = 0

Solving
-60 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + -5x + 60 + x2 = 0 + 60

Reorder the terms:
-60 + 60 + -5x + x2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -5x + x2 = 0 + 60
-5x + x2 = 0 + 60

Combine like terms: 0 + 60 = 60
-5x + x2 = 60

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 = 60 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 60 + 6.25

Combine like terms: 60 + 6.25 = 66.25
6.25 + -5x + x2 = 66.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 66.25

Calculate the square root of the right side: 8.139410298

Break this problem into two subproblems by setting 
(x + -2.5) equal to 8.139410298 and -8.139410298.


Subproblem 1
x + -2.5 = 8.139410298

Simplifying
x + -2.5 = 8.139410298

Reorder the terms:
-2.5 + x = 8.139410298

Solving
-2.5 + x = 8.139410298

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 = 8.139410298 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 8.139410298 + 2.5
x = 8.139410298 + 2.5

Combine like terms: 8.139410298 + 2.5 = 10.639410298
x = 10.639410298

Simplifying
x = 10.639410298


Subproblem 2
x + -2.5 = -8.139410298

Simplifying
x + -2.5 = -8.139410298

Reorder the terms:
-2.5 + x = -8.139410298

Solving
-2.5 + x = -8.139410298

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 = -8.139410298 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -8.139410298 + 2.5
x = -8.139410298 + 2.5

Combine like terms: -8.139410298 + 2.5 = -5.639410298
x = -5.639410298

Simplifying
x = -5.639410298


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.639410298, -5.639410298}

See similar equations:

| -166-9x=8x+20 | | 24=7a+5a | | 8-9x=32-16x | | .30x=174000 | | .30x=17400 | | w^2+3.5=112.5 | | Y-6.5-6.8=-6(y-1.7) | | 7x(2x+3y)= | | r+4=21 | | 3x-4+x=2(x+3) | | -2h-(5-3h)= | | Z-5.4+1.6=1.5(z-6.8) | | 3x-4+2x=2(x+3) | | 0.004x-0.03(x-3)=5 | | x^2+3x-160=0 | | 31-7x=2x+21 | | 5-7x+12(x+1)=57 | | a/2+2/3=5/6 | | 2x+20=192-2x | | -6y+30=3(5y-4) | | 3x+2+x=2(x+16) | | 5x+12-3x=18 | | v-17=-36 | | 2(x-3)+x=-36 | | 5x+3=-3x-5 | | 11-10x=89-13x | | 5+5(3n-2)=-7(3n-4)-5 | | x-.4x=30 | | 5n+8=48 | | 7x-99=-1(x+11) | | 8z-6=16 | | 2y+7=12 |

Equations solver categories