x^2-16x-12=0

Simple and best practice solution for x^2-16x-12=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^2-16x-12=0 equation: 


Simplifying
x2 + -16x + -12 = 0

Reorder the terms:
-12 + -16x + x2 = 0

Solving
-12 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -16x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -16x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -16x + x2 = 0 + 12
-16x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-16x + x2 = 12

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 12 + 64

Reorder the terms:
64 + -16x + x2 = 12 + 64

Combine like terms: 12 + 64 = 76
64 + -16x + x2 = 76

Factor a perfect square on the left side:
(x + -8)(x + -8) = 76

Calculate the square root of the right side: 8.717797887

Break this problem into two subproblems by setting 
(x + -8) equal to 8.717797887 and -8.717797887.


Subproblem 1
x + -8 = 8.717797887

Simplifying
x + -8 = 8.717797887

Reorder the terms:
-8 + x = 8.717797887

Solving
-8 + x = 8.717797887

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 8.717797887 + 8

Combine like terms: -8 + 8 = 0
0 + x = 8.717797887 + 8
x = 8.717797887 + 8

Combine like terms: 8.717797887 + 8 = 16.717797887
x = 16.717797887

Simplifying
x = 16.717797887


Subproblem 2
x + -8 = -8.717797887

Simplifying
x + -8 = -8.717797887

Reorder the terms:
-8 + x = -8.717797887

Solving
-8 + x = -8.717797887

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -8.717797887 + 8

Combine like terms: -8 + 8 = 0
0 + x = -8.717797887 + 8
x = -8.717797887 + 8

Combine like terms: -8.717797887 + 8 = -0.717797887
x = -0.717797887

Simplifying
x = -0.717797887


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.717797887, -0.717797887}

See similar equations:

| X/7-3=9 | | 1/4m=35/8 | | (6x+1)/3=(9-x)/7 | | -2v=-28 | | 10x-13=14x-13 | | .75(x+4)=.67(x-4) | | 6/y=4.8 | | v^2+4v=32 | | 5x-23=37+2x | | (x+2)/(x-1)*(4x-4)/(x^2-4) | | 9.5x+16.4=8.7x+18.6 | | 2x-y+2=0 | | t=5r^2t | | 26=8+r | | 57/45 | | 18t+11v=w-13t(fort) | | (3-x)/(1-x)=3/2 | | 16x+9=8x+47 | | 4.96/0.8= | | w-9.6=7.18 | | 14x+15=7x+44 | | 24=-3x | | 3x-x(2+x)= | | 36x+1/4=36x-68 | | -464=8(8x-2) | | 12x^2-15=8x | | 7x-5(2x-3)=39 | | 37x+1/4=36x-68 | | 27y^2-24y+5=0 | | -13=t-(-8) | | 12*2/3= | | 24p-9p/24 |

Equations solver categories