12x^2-3840x+480=0

Simple and best practice solution for 12x^2-3840x+480=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 12x^2-3840x+480=0 equation: 


Simplifying
12x2 + -3840x + 480 = 0

Reorder the terms:
480 + -3840x + 12x2 = 0

Solving
480 + -3840x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(40 + -320x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(40 + -320x + x2)' equal to zero and attempt to solve:

Simplifying
40 + -320x + x2 = 0

Solving
40 + -320x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -320x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -320x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -320x + x2 = 0 + -40
-320x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-320x + x2 = -40

The x term is -320x.  Take half its coefficient (-160).
Square it (25600) and add it to both sides.

Add '25600' to each side of the equation.
-320x + 25600 + x2 = -40 + 25600

Reorder the terms:
25600 + -320x + x2 = -40 + 25600

Combine like terms: -40 + 25600 = 25560
25600 + -320x + x2 = 25560

Factor a perfect square on the left side:
(x + -160)(x + -160) = 25560

Calculate the square root of the right side: 159.874951134

Break this problem into two subproblems by setting 
(x + -160) equal to 159.874951134 and -159.874951134.


Subproblem 1
x + -160 = 159.874951134

Simplifying
x + -160 = 159.874951134

Reorder the terms:
-160 + x = 159.874951134

Solving
-160 + x = 159.874951134

Solving for variable 'x'.

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

Add '160' to each side of the equation.
-160 + 160 + x = 159.874951134 + 160

Combine like terms: -160 + 160 = 0
0 + x = 159.874951134 + 160
x = 159.874951134 + 160

Combine like terms: 159.874951134 + 160 = 319.874951134
x = 319.874951134

Simplifying
x = 319.874951134


Subproblem 2
x + -160 = -159.874951134

Simplifying
x + -160 = -159.874951134

Reorder the terms:
-160 + x = -159.874951134

Solving
-160 + x = -159.874951134

Solving for variable 'x'.

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

Add '160' to each side of the equation.
-160 + 160 + x = -159.874951134 + 160

Combine like terms: -160 + 160 = 0
0 + x = -159.874951134 + 160
x = -159.874951134 + 160

Combine like terms: -159.874951134 + 160 = 0.125048866
x = 0.125048866

Simplifying
x = 0.125048866


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {319.874951134, 0.125048866}
Solution
x = {319.874951134, 0.125048866}

See similar equations:

| 4(3x^2-12x+28)=1 | | 3x^2-960x+120=0 | | f(x)=5x^3 | | (x+138)+(x+48)=180 | | 5x-7=9x-39 | | 2a+5b=209 | | -2y-15=4y+15 | | 95/110 | | (7+2x)4=3x+8 | | 9x+2=9(x+7) | | 8x-5=3x+35 | | 5x-9=9+3x | | 11x^2+13=0 | | -5(x+9)-4=-49 | | 9x+5=4x+11 | | 0.8(x+20)+x=97 | | 5m+2r=r-7h | | 7x-8=8x-6 | | 3x+1+x+4+90=180 | | 6x^2+42x-28/x+8 | | 3z+5=19 | | -2y+6=-2(3y+5) | | 8-(2y-8)=5-3y | | 0.95z=51 | | -.05z-0.9z=51 | | -0.05z-0.9z=51 | | 2log(7)1-2x=12 | | 6r^3+15r^2+8r+20= | | 11-6-x/2=26 | | 3w-6=w-5 | | 4x+1x=180 | | 2(3x+6)=-11+17 |

Equations solver categories