3x^2-660x+2100=0

Simple and best practice solution for 3x^2-660x+2100=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 3x^2-660x+2100=0 equation: 


Simplifying
3x2 + -660x + 2100 = 0

Reorder the terms:
2100 + -660x + 3x2 = 0

Solving
2100 + -660x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(700 + -220x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(700 + -220x + x2)' equal to zero and attempt to solve:

Simplifying
700 + -220x + x2 = 0

Solving
700 + -220x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-700' to each side of the equation.
700 + -220x + -700 + x2 = 0 + -700

Reorder the terms:
700 + -700 + -220x + x2 = 0 + -700

Combine like terms: 700 + -700 = 0
0 + -220x + x2 = 0 + -700
-220x + x2 = 0 + -700

Combine like terms: 0 + -700 = -700
-220x + x2 = -700

The x term is -220x.  Take half its coefficient (-110).
Square it (12100) and add it to both sides.

Add '12100' to each side of the equation.
-220x + 12100 + x2 = -700 + 12100

Reorder the terms:
12100 + -220x + x2 = -700 + 12100

Combine like terms: -700 + 12100 = 11400
12100 + -220x + x2 = 11400

Factor a perfect square on the left side:
(x + -110)(x + -110) = 11400

Calculate the square root of the right side: 106.77078252

Break this problem into two subproblems by setting 
(x + -110) equal to 106.77078252 and -106.77078252.


Subproblem 1
x + -110 = 106.77078252

Simplifying
x + -110 = 106.77078252

Reorder the terms:
-110 + x = 106.77078252

Solving
-110 + x = 106.77078252

Solving for variable 'x'.

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

Add '110' to each side of the equation.
-110 + 110 + x = 106.77078252 + 110

Combine like terms: -110 + 110 = 0
0 + x = 106.77078252 + 110
x = 106.77078252 + 110

Combine like terms: 106.77078252 + 110 = 216.77078252
x = 216.77078252

Simplifying
x = 216.77078252


Subproblem 2
x + -110 = -106.77078252

Simplifying
x + -110 = -106.77078252

Reorder the terms:
-110 + x = -106.77078252

Solving
-110 + x = -106.77078252

Solving for variable 'x'.

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

Add '110' to each side of the equation.
-110 + 110 + x = -106.77078252 + 110

Combine like terms: -110 + 110 = 0
0 + x = -106.77078252 + 110
x = -106.77078252 + 110

Combine like terms: -106.77078252 + 110 = 3.22921748
x = 3.22921748

Simplifying
x = 3.22921748


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {216.77078252, 3.22921748}
Solution
x = {216.77078252, 3.22921748}

See similar equations:

| 600-60x+x^2=0 | | ax-8-5x+20= | | 09+36=75 | | 09+36= | | x-(-5)=-12 | | 50-(15+9)= | | 3b^2-5b-3=-6b+1 | | 7(x+3)-4(2-x)=5(2x-3)(2x+1) | | y=x^2-8x+12 | | 3b^2-5b-3=(-6b)+1 | | (2x+7)(3x-4)=0 | | 3x+y=112 | | 5x-3=108 | | k^7-5k+6=0 | | 45x=x^2-15x+600 | | 8y^2b= | | 3x+5=7x-19 | | 5a(x-5a)=b(x-b) | | x^9-32x^4=x^5-32 | | 16(x+2)-8=16+24 | | x+x+x+5+x+5=26 | | 3(1-x)=2(1-2x) | | 2x^7-4x^3+3x^4-6=0 | | 5x^2+30x+14=2-2x | | 26x^2-7x=0 | | 5x+30x+14=2-2x | | (x-7)(3x+8)= | | 5x-3*6=108 | | 4(6-2x)+3(3-2x)=5 | | 3x+8y=10 | | x+x-202=538 | | 4x+(x+10)=180 |

Equations solver categories