X^2+6X-60=0

Simple and best practice solution for X^2+6X-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+6X-60=0 equation:


Simplifying
X2 + 6X + -60 = 0

Reorder the terms:
-60 + 6X + X2 = 0

Solving
-60 + 6X + 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 + 6X + 60 + X2 = 0 + 60

Reorder the terms:
-60 + 60 + 6X + X2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 6X + X2 = 0 + 60
6X + X2 = 0 + 60

Combine like terms: 0 + 60 = 60
6X + X2 = 60

The X term is 6X.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6X + 9 + X2 = 60 + 9

Reorder the terms:
9 + 6X + X2 = 60 + 9

Combine like terms: 60 + 9 = 69
9 + 6X + X2 = 69

Factor a perfect square on the left side:
(X + 3)(X + 3) = 69

Calculate the square root of the right side: 8.306623863

Break this problem into two subproblems by setting 
(X + 3) equal to 8.306623863 and -8.306623863.

Subproblem 1

X + 3 = 8.306623863 Simplifying X + 3 = 8.306623863 Reorder the terms: 3 + X = 8.306623863 Solving 3 + X = 8.306623863 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 8.306623863 + -3 Combine like terms: 3 + -3 = 0 0 + X = 8.306623863 + -3 X = 8.306623863 + -3 Combine like terms: 8.306623863 + -3 = 5.306623863 X = 5.306623863 Simplifying X = 5.306623863

Subproblem 2

X + 3 = -8.306623863 Simplifying X + 3 = -8.306623863 Reorder the terms: 3 + X = -8.306623863 Solving 3 + X = -8.306623863 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = -8.306623863 + -3 Combine like terms: 3 + -3 = 0 0 + X = -8.306623863 + -3 X = -8.306623863 + -3 Combine like terms: -8.306623863 + -3 = -11.306623863 X = -11.306623863 Simplifying X = -11.306623863

Solution

The solution to the problem is based on the solutions from the subproblems. X = {5.306623863, -11.306623863}

See similar equations:

| 5=4y+11 | | 4x+7=8x-3 | | 11x+17=5x+1 | | x^2+15x-1=0 | | 17-11x=5x+1 | | 24+7x=-13 | | bx+2=a | | 38-2x=16x+18 | | 14-8x=92-29x | | 4s+7=5g-1-g | | x^4+x^2+6=0 | | -3b+4=-7b+11 | | 3a+4=32 | | 3a+4a=32 | | 139-6x=39x+19 | | (2x+4x)= | | y=5x^2+10x | | -2.4x+5=7.8x-3 | | y=3x+21x^2 | | 7X+2=X+26 | | 2x=-30 | | 6x+2=16x-62 | | x*2-2.5=0 | | 12x-6=9x+2 | | 12-9x=64-37x | | -3x-13=8x-5 | | 5x+3=8x+17 | | (x+2)+2=3x | | x^2-5x-1800=0 | | 6(3m-1)+3(2m+3)=1-7m | | 3x+9=x-3 | | 8x+2y+8z-4x+4z-5y= |

Equations solver categories