12(x^2-240x+900)=0

Simple and best practice solution for 12(x^2-240x+900)=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 12(x^2-240x+900)=0 equation: 


Simplifying
12(x2 + -240x + 900) = 0

Reorder the terms:
12(900 + -240x + x2) = 0
(900 * 12 + -240x * 12 + x2 * 12) = 0
(10800 + -2880x + 12x2) = 0

Solving
10800 + -2880x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(900 + -240x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(900 + -240x + x2)' equal to zero and attempt to solve:

Simplifying
900 + -240x + x2 = 0

Solving
900 + -240x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-900' to each side of the equation.
900 + -240x + -900 + x2 = 0 + -900

Reorder the terms:
900 + -900 + -240x + x2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -240x + x2 = 0 + -900
-240x + x2 = 0 + -900

Combine like terms: 0 + -900 = -900
-240x + x2 = -900

The x term is -240x.  Take half its coefficient (-120).
Square it (14400) and add it to both sides.

Add '14400' to each side of the equation.
-240x + 14400 + x2 = -900 + 14400

Reorder the terms:
14400 + -240x + x2 = -900 + 14400

Combine like terms: -900 + 14400 = 13500
14400 + -240x + x2 = 13500

Factor a perfect square on the left side:
(x + -120)(x + -120) = 13500

Calculate the square root of the right side: 116.189500386

Break this problem into two subproblems by setting 
(x + -120) equal to 116.189500386 and -116.189500386.


Subproblem 1
x + -120 = 116.189500386

Simplifying
x + -120 = 116.189500386

Reorder the terms:
-120 + x = 116.189500386

Solving
-120 + x = 116.189500386

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + x = 116.189500386 + 120

Combine like terms: -120 + 120 = 0
0 + x = 116.189500386 + 120
x = 116.189500386 + 120

Combine like terms: 116.189500386 + 120 = 236.189500386
x = 236.189500386

Simplifying
x = 236.189500386


Subproblem 2
x + -120 = -116.189500386

Simplifying
x + -120 = -116.189500386

Reorder the terms:
-120 + x = -116.189500386

Solving
-120 + x = -116.189500386

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + x = -116.189500386 + 120

Combine like terms: -120 + 120 = 0
0 + x = -116.189500386 + 120
x = -116.189500386 + 120

Combine like terms: -116.189500386 + 120 = 3.810499614
x = 3.810499614

Simplifying
x = 3.810499614


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {236.189500386, 3.810499614}
Solution
x = {236.189500386, 3.810499614}

See similar equations:

| 2y+3=y(y+7) | | 22.5=n-0.0 | | 22.5=n-0.9 | | -3x=-39 | | 23-7(x+3)+5x= | | -7=k-12 | | -4.3=2.4+s | | V^2+2V+1= | | c-2=5 | | 8=f+4 | | 6c+4=68 | | 6,7=0,44x | | 12=c-2 | | 5(x-3)=16 | | -3.5x+0.6=0.1x-1.2 | | 3=-7/5+5 | | v+6=5 | | y-2=-7 | | a+9=11 | | 8x-3(x-3)=-9 | | X-6+2x=15 | | s=275+80 | | 2.2n-7=5n-10 | | -3.8=m+4.2 | | 2=.25+s | | (5x-1)=(4x+10) | | 4w+3=0 | | 3(-2+x)=x(6+3) | | 2x^2+3-2=0 | | 6.8=m-4.2 | | 3c-4=8 | | 16n-3x+9=2x+86 |

Equations solver categories