2x^2-8x-32=0

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


Simplifying
2x2 + -8x + -32 = 0

Reorder the terms:
-32 + -8x + 2x2 = 0

Solving
-32 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-16 + -4x + x2 = 0

Solving
-16 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -4x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -4x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -4x + x2 = 0 + 16
-4x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-4x + x2 = 16

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 16 + 4

Reorder the terms:
4 + -4x + x2 = 16 + 4

Combine like terms: 16 + 4 = 20
4 + -4x + x2 = 20

Factor a perfect square on the left side:
(x + -2)(x + -2) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + -2) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + -2 = 4.472135955

Simplifying
x + -2 = 4.472135955

Reorder the terms:
-2 + x = 4.472135955

Solving
-2 + x = 4.472135955

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 4.472135955 + 2

Combine like terms: -2 + 2 = 0
0 + x = 4.472135955 + 2
x = 4.472135955 + 2

Combine like terms: 4.472135955 + 2 = 6.472135955
x = 6.472135955

Simplifying
x = 6.472135955


Subproblem 2
x + -2 = -4.472135955

Simplifying
x + -2 = -4.472135955

Reorder the terms:
-2 + x = -4.472135955

Solving
-2 + x = -4.472135955

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -4.472135955 + 2

Combine like terms: -2 + 2 = 0
0 + x = -4.472135955 + 2
x = -4.472135955 + 2

Combine like terms: -4.472135955 + 2 = -2.472135955
x = -2.472135955

Simplifying
x = -2.472135955


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.472135955, -2.472135955}
Solution
x = {6.472135955, -2.472135955}

See similar equations:

| (2*-3*5*-1)3= | | (x*3*x*3*x*-6*x*2)0= | | (x*3*x*3*x*-6*x*2)2= | | X*3*x*3*x*-6= | | k-52=-12 | | r^2t^2-36=0 | | -(2+4x)-(3-4x)+5=-(-7*3x)+x+1 | | 0.05x=3 | | 9n=7n | | -x^2+x-1=0 | | 12-m=25 | | w-3.2=1.4 | | 4U+10=-6 | | 5-2(3x-8)=3-x | | b-40=40 | | j-0.2=1.8 | | 5(2-x)-4(1-3x)=6 | | x=3+3y | | 7t+10=-9-6t | | w-1.2=5.8 | | k-0.5=2.3 | | 7x-(1-4x)=12 | | 20=y-8 | | 2x+9y=11 | | 4b^2+9b+5=0 | | p-5=15 | | 5=3-(4-2x) | | -4.9t^2+80t=0 | | 56a^2-23a-63=0 | | (y-4)-(y+4)=5y | | -4a+5+5a=5-23 | | 8n-(6-2n)= |

Equations solver categories