4x^2-32x-8=0

Simple and best practice solution for 4x^2-32x-8=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 4x^2-32x-8=0 equation: 


Simplifying
4x2 + -32x + -8 = 0

Reorder the terms:
-8 + -32x + 4x2 = 0

Solving
-8 + -32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -8x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
-2 + -8x + x2 = 0

Solving
-2 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -8x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -8x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -8x + x2 = 0 + 2
-8x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-8x + x2 = 2

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 = 2 + 16

Reorder the terms:
16 + -8x + x2 = 2 + 16

Combine like terms: 2 + 16 = 18
16 + -8x + x2 = 18

Factor a perfect square on the left side:
(x + -4)(x + -4) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + -4) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + -4 = 4.242640687

Simplifying
x + -4 = 4.242640687

Reorder the terms:
-4 + x = 4.242640687

Solving
-4 + x = 4.242640687

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 = 4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + x = 4.242640687 + 4
x = 4.242640687 + 4

Combine like terms: 4.242640687 + 4 = 8.242640687
x = 8.242640687

Simplifying
x = 8.242640687


Subproblem 2
x + -4 = -4.242640687

Simplifying
x + -4 = -4.242640687

Reorder the terms:
-4 + x = -4.242640687

Solving
-4 + x = -4.242640687

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 = -4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + x = -4.242640687 + 4
x = -4.242640687 + 4

Combine like terms: -4.242640687 + 4 = -0.242640687
x = -0.242640687

Simplifying
x = -0.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.242640687, -0.242640687}
Solution
x = {8.242640687, -0.242640687}

See similar equations:

| 4x-15+15x+5=180 | | 2y+8=22y | | 14n-2n+n-12n=11 | | 24-7m=10 | | (-5)x(5)= | | y=-3(6)+5 | | 9x-10+2x-3=42 | | 3/5k+5=17 | | 2q+10=6 | | -11(2m-6)=3m+9(3m-10) | | 10h=s | | 3h+c+2h+3c= | | 7=-6m+5 | | -6-2(9x-2)=-5 | | 2x=x+43 | | (2x*2x)-6x=0 | | 5(6-7i)= | | u-5.1=8.5 | | -24=-7x+25 | | 2n-27=-11n | | 8y-(4+8y)=2 | | -144(8)= | | 25x+5=4 | | (-10)-(15)= | | 25x^2+6x-31=0 | | -a-14a-2a=11 | | 27.50+0X=23.25+17X | | -25(60)= | | 5+3x=y | | 4(x+2)-3(x+2)=x+6-4 | | 4x+7=6[x-2]-3x | | x+4(x+3)=171717 |

Equations solver categories