20x^2-600x-3600=0

Simple and best practice solution for 20x^2-600x-3600=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 20x^2-600x-3600=0 equation: 


Simplifying
20x2 + -600x + -3600 = 0

Reorder the terms:
-3600 + -600x + 20x2 = 0

Solving
-3600 + -600x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-180 + -30x + x2) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-180 + -30x + x2)' equal to zero and attempt to solve:

Simplifying
-180 + -30x + x2 = 0

Solving
-180 + -30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '180' to each side of the equation.
-180 + -30x + 180 + x2 = 0 + 180

Reorder the terms:
-180 + 180 + -30x + x2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + -30x + x2 = 0 + 180
-30x + x2 = 0 + 180

Combine like terms: 0 + 180 = 180
-30x + x2 = 180

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 = 180 + 225

Reorder the terms:
225 + -30x + x2 = 180 + 225

Combine like terms: 180 + 225 = 405
225 + -30x + x2 = 405

Factor a perfect square on the left side:
(x + -15)(x + -15) = 405

Calculate the square root of the right side: 20.124611797

Break this problem into two subproblems by setting 
(x + -15) equal to 20.124611797 and -20.124611797.


Subproblem 1
x + -15 = 20.124611797

Simplifying
x + -15 = 20.124611797

Reorder the terms:
-15 + x = 20.124611797

Solving
-15 + x = 20.124611797

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 = 20.124611797 + 15

Combine like terms: -15 + 15 = 0
0 + x = 20.124611797 + 15
x = 20.124611797 + 15

Combine like terms: 20.124611797 + 15 = 35.124611797
x = 35.124611797

Simplifying
x = 35.124611797


Subproblem 2
x + -15 = -20.124611797

Simplifying
x + -15 = -20.124611797

Reorder the terms:
-15 + x = -20.124611797

Solving
-15 + x = -20.124611797

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 = -20.124611797 + 15

Combine like terms: -15 + 15 = 0
0 + x = -20.124611797 + 15
x = -20.124611797 + 15

Combine like terms: -20.124611797 + 15 = -5.124611797
x = -5.124611797

Simplifying
x = -5.124611797


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {35.124611797, -5.124611797}
Solution
x = {35.124611797, -5.124611797}

See similar equations:

| 20x^2+600x+3600=0 | | .074-.026r=.035-.14r | | -20-29k=3 | | 45+21-17=-63 | | p+13/4=45/8 | | 5x-17=-57 | | 95-13w=23-13w | | 25a^2-60ag+36g^2=0 | | (4v+5)(4+v)=0 | | 4/5+1/6x=1/10 | | 8n-11=6n-17 | | 24x+81+7x=9 | | 7/2+9 | | 12n+2=3(2n-2)+9 | | (4-x)3x=-16 | | -9x+4+7x=-3x+9 | | 4n+2=3(2n-2)+9 | | 1/6-5x1+7 | | x(-5x+20)=0 | | 8-5z=-10+10z | | 6/7-4/5=x/25 | | 4n+2=3(2n-3)+9 | | X-3x=-16 | | x-2-5x=20-x | | 9x+11-5x=12-13x-14 | | -15x-19=56 | | 1/2x+7=11 | | (Y^2-8y+15)= | | 6y^2+12y=0 | | 6n+4=3(n-3)+14 | | 1/8x=-5 | | 4/x=6/15 |

Equations solver categories