12x^2-360x+1800=0

Simple and best practice solution for 12x^2-360x+1800=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^2-360x+1800=0 equation: 


Simplifying
12x2 + -360x + 1800 = 0

Reorder the terms:
1800 + -360x + 12x2 = 0

Solving
1800 + -360x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(150 + -30x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(150 + -30x + x2)' equal to zero and attempt to solve:

Simplifying
150 + -30x + x2 = 0

Solving
150 + -30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + -30x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + -30x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -30x + x2 = 0 + -150
-30x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
-30x + x2 = -150

The x term is -30x.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30x + 225 + x2 = -150 + 225

Reorder the terms:
225 + -30x + x2 = -150 + 225

Combine like terms: -150 + 225 = 75
225 + -30x + x2 = 75

Factor a perfect square on the left side:
(x + -15)(x + -15) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(x + -15) equal to 8.660254038 and -8.660254038.


Subproblem 1
x + -15 = 8.660254038

Simplifying
x + -15 = 8.660254038

Reorder the terms:
-15 + x = 8.660254038

Solving
-15 + x = 8.660254038

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + x = 8.660254038 + 15

Combine like terms: -15 + 15 = 0
0 + x = 8.660254038 + 15
x = 8.660254038 + 15

Combine like terms: 8.660254038 + 15 = 23.660254038
x = 23.660254038

Simplifying
x = 23.660254038


Subproblem 2
x + -15 = -8.660254038

Simplifying
x + -15 = -8.660254038

Reorder the terms:
-15 + x = -8.660254038

Solving
-15 + x = -8.660254038

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + x = -8.660254038 + 15

Combine like terms: -15 + 15 = 0
0 + x = -8.660254038 + 15
x = -8.660254038 + 15

Combine like terms: -8.660254038 + 15 = 6.339745962
x = 6.339745962

Simplifying
x = 6.339745962


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {23.660254038, 6.339745962}
Solution
x = {23.660254038, 6.339745962}

See similar equations:

| 2/4-5i | | 8a=3(a+5) | | 7-6(x-1)+3(3-4x)=7+(7x-4) | | 90/(f-1)=15 | | x+4=-5x+16 | | 2ln(x+6)=6 | | x^2+ax+3a=0 | | Y/100 | | x+(x+8)=108 | | 3x-7=10x+8 | | 9x-(5x-10)=30 | | 28/(q-3)=7 | | 5a+1b=3(a+b) | | c(x)=3x^2-50x+500 | | 6+0.1=0.15+8 | | 2.5x=10+2x | | x+3+(x+4)=11 | | 54/m-2=7 | | X^4-4x^3=16x^2-64x | | (-2y^3+1)dx+(3xy^2+x^3)dy=0 | | 10x-15=93-4x | | 45/w-6=9 | | x/8=-12 | | 4x+34=8x-14 | | (3x-5)=19 | | 7-6*(x-1)+3-4x=7+(7x-4) | | (2x^2+mx-3)=0 | | 5+15s-1=8s+22-2s | | 4y-5=y+13 | | 6x-30/6x | | Ln(x)=.77 | | x+(x+4)=32 |

Equations solver categories