2x^2-20x-384=0

Simple and best practice solution for 2x^2-20x-384=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^2-20x-384=0 equation: 


Simplifying
2x2 + -20x + -384 = 0

Reorder the terms:
-384 + -20x + 2x2 = 0

Solving
-384 + -20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-192 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-192 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
-192 + -10x + x2 = 0

Solving
-192 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '192' to each side of the equation.
-192 + -10x + 192 + x2 = 0 + 192

Reorder the terms:
-192 + 192 + -10x + x2 = 0 + 192

Combine like terms: -192 + 192 = 0
0 + -10x + x2 = 0 + 192
-10x + x2 = 0 + 192

Combine like terms: 0 + 192 = 192
-10x + x2 = 192

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 192 + 25

Reorder the terms:
25 + -10x + x2 = 192 + 25

Combine like terms: 192 + 25 = 217
25 + -10x + x2 = 217

Factor a perfect square on the left side:
(x + -5)(x + -5) = 217

Calculate the square root of the right side: 14.730919863

Break this problem into two subproblems by setting 
(x + -5) equal to 14.730919863 and -14.730919863.


Subproblem 1
x + -5 = 14.730919863

Simplifying
x + -5 = 14.730919863

Reorder the terms:
-5 + x = 14.730919863

Solving
-5 + x = 14.730919863

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 14.730919863 + 5

Combine like terms: -5 + 5 = 0
0 + x = 14.730919863 + 5
x = 14.730919863 + 5

Combine like terms: 14.730919863 + 5 = 19.730919863
x = 19.730919863

Simplifying
x = 19.730919863


Subproblem 2
x + -5 = -14.730919863

Simplifying
x + -5 = -14.730919863

Reorder the terms:
-5 + x = -14.730919863

Solving
-5 + x = -14.730919863

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -14.730919863 + 5

Combine like terms: -5 + 5 = 0
0 + x = -14.730919863 + 5
x = -14.730919863 + 5

Combine like terms: -14.730919863 + 5 = -9.730919863
x = -9.730919863

Simplifying
x = -9.730919863


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {19.730919863, -9.730919863}
Solution
x = {19.730919863, -9.730919863}

See similar equations:

| 4x-10=4x-10 | | 9x/18x=0.25 | | 9x/18x | | 2x+5=2x-9 | | (5-w)(3w+1)=0 | | -4=5w+6 | | -2y-2z=0 | | (4x+6)(7x+3)= | | 30x^2+115x+100= | | 2(8y-7)=4(3+4y) | | 2x+31=3+7x-7 | | 1+2+5+9= | | -5/9w=-35 | | 4-6lnx=8 | | 2y=21 | | x^2=17x-3 | | 27n^2+156n+105= | | 6+(4n+3)=10 | | -1/3-a=2/3 | | -3(2x+1)+6=45 | | -7z+7=0 | | 13y^2-5yx-8x=0 | | 13x-480y=1 | | 4(5x-3)+6=-3 | | 24=3p+3 | | 6z+7=2080 | | 0.2(x-4)=4 | | 2p-4=3p/2 | | 19x-9=11x-49 | | 2x^2+25+28=7x | | 10=6x^2-11x | | 9/10x-9=8 |

Equations solver categories