x^2-8x-46=0

Simple and best practice solution for x^2-8x-46=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^2-8x-46=0 equation: 


Simplifying
x2 + -8x + -46 = 0

Reorder the terms:
-46 + -8x + x2 = 0

Solving
-46 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '46' to each side of the equation.
-46 + -8x + 46 + x2 = 0 + 46

Reorder the terms:
-46 + 46 + -8x + x2 = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -8x + x2 = 0 + 46
-8x + x2 = 0 + 46

Combine like terms: 0 + 46 = 46
-8x + x2 = 46

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 46 + 16

Reorder the terms:
16 + -8x + x2 = 46 + 16

Combine like terms: 46 + 16 = 62
16 + -8x + x2 = 62

Factor a perfect square on the left side:
(x + -4)(x + -4) = 62

Calculate the square root of the right side: 7.874007874

Break this problem into two subproblems by setting 
(x + -4) equal to 7.874007874 and -7.874007874.


Subproblem 1
x + -4 = 7.874007874

Simplifying
x + -4 = 7.874007874

Reorder the terms:
-4 + x = 7.874007874

Solving
-4 + x = 7.874007874

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 7.874007874 + 4

Combine like terms: -4 + 4 = 0
0 + x = 7.874007874 + 4
x = 7.874007874 + 4

Combine like terms: 7.874007874 + 4 = 11.874007874
x = 11.874007874

Simplifying
x = 11.874007874


Subproblem 2
x + -4 = -7.874007874

Simplifying
x + -4 = -7.874007874

Reorder the terms:
-4 + x = -7.874007874

Solving
-4 + x = -7.874007874

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -7.874007874 + 4

Combine like terms: -4 + 4 = 0
0 + x = -7.874007874 + 4
x = -7.874007874 + 4

Combine like terms: -7.874007874 + 4 = -3.874007874
x = -3.874007874

Simplifying
x = -3.874007874


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.874007874, -3.874007874}

See similar equations:

| -6x^2+9=0 | | s^2-10s-41=0 | | 28-5n=7(n-8) | | 8u-5u=18 | | r^2-2r=43 | | .14y+.04(y+8000)=860 | | 2(3x+8)=4x-6x | | 2k+5k+12k= | | -140=2(-8p-6) | | 3-(3*6)+2=13 | | 5/2m+3=1/2m+15 | | 11=1-4b-2 | | 2v-v=-6 | | -203=-7(5-3b) | | -0.6x+9.42=-0.4x+3.22 | | ab-18=6a | | -16=-7x+3x | | .14y+.04(y+800)=860 | | -x-7x+10=-8x-5 | | .13y+.07(y+7000)=1690 | | 20=-4n-6n | | 7y-3y=60 | | -2t[8-(-t)]+5t=0 | | 2j^2+J-4=0 | | 10=x+150 | | 80=-4(-6+2n) | | 200-20=5r | | .40x+.05(4-x)=.10(44) | | 3(-4x+1)-6x=75 | | 6x-3+51=90 | | -171=6(-7p-4)-7p | | k+2k=6 |

Equations solver categories