x^2+12x-168=0

Simple and best practice solution for x^2+12x-168=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+12x-168=0 equation:


Simplifying
x2 + 12x + -168 = 0

Reorder the terms:
-168 + 12x + x2 = 0

Solving
-168 + 12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '168' to each side of the equation.
-168 + 12x + 168 + x2 = 0 + 168

Reorder the terms:
-168 + 168 + 12x + x2 = 0 + 168

Combine like terms: -168 + 168 = 0
0 + 12x + x2 = 0 + 168
12x + x2 = 0 + 168

Combine like terms: 0 + 168 = 168
12x + x2 = 168

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = 168 + 36

Reorder the terms:
36 + 12x + x2 = 168 + 36

Combine like terms: 168 + 36 = 204
36 + 12x + x2 = 204

Factor a perfect square on the left side:
(x + 6)(x + 6) = 204

Calculate the square root of the right side: 14.282856857

Break this problem into two subproblems by setting 
(x + 6) equal to 14.282856857 and -14.282856857.

Subproblem 1

x + 6 = 14.282856857 Simplifying x + 6 = 14.282856857 Reorder the terms: 6 + x = 14.282856857 Solving 6 + x = 14.282856857 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 14.282856857 + -6 Combine like terms: 6 + -6 = 0 0 + x = 14.282856857 + -6 x = 14.282856857 + -6 Combine like terms: 14.282856857 + -6 = 8.282856857 x = 8.282856857 Simplifying x = 8.282856857

Subproblem 2

x + 6 = -14.282856857 Simplifying x + 6 = -14.282856857 Reorder the terms: 6 + x = -14.282856857 Solving 6 + x = -14.282856857 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = -14.282856857 + -6 Combine like terms: 6 + -6 = 0 0 + x = -14.282856857 + -6 x = -14.282856857 + -6 Combine like terms: -14.282856857 + -6 = -20.282856857 x = -20.282856857 Simplifying x = -20.282856857

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.282856857, -20.282856857}

See similar equations:

| 4a(7a+3)=0 | | 28a^2+12a=0 | | 3x=2(x+5) | | 7(2+x)= | | 12x-16=128 | | 65(x+72)=180 | | 7x-10y+3x+5xy= | | 3x=2(3+5) | | 100x^2-25x^4=0 | | x+5x=72 | | 11b-6a+4a= | | 1.5=n-3 | | -15x+4-7x-5= | | a^2-2a=15 | | 2x+9=3x+6 | | 15x-7-8x+3= | | 2x^2-14x-2x+14= | | -3-5x=12x | | 3a-5b-8a+11b= | | f(g)=895+30g | | 3x-9y+2x+8y= | | 0.2x-0.3=-1 | | -11m+8-7m-9= | | 10x-5=35 | | 9*a/14+3/7=3/4 | | 5y=3y-2 | | 9x=-54 | | 6+9y-12y-5= | | 555+896533789= | | 4a^2-28a=0 | | -4+3x= | | 1.67+3.3y=3y-2 |

Equations solver categories