-6x^2+300x-3500=0

Simple and best practice solution for -6x^2+300x-3500=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 -6x^2+300x-3500=0 equation: 


Simplifying
-6x2 + 300x + -3500 = 0

Reorder the terms:
-3500 + 300x + -6x2 = 0

Solving
-3500 + 300x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1750 + 150x + -3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1750 + 150x + -3x2)' equal to zero and attempt to solve:

Simplifying
-1750 + 150x + -3x2 = 0

Solving
-1750 + 150x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
583.3333333 + -50x + x2 = 0

Move the constant term to the right:

Add '-583.3333333' to each side of the equation.
583.3333333 + -50x + -583.3333333 + x2 = 0 + -583.3333333

Reorder the terms:
583.3333333 + -583.3333333 + -50x + x2 = 0 + -583.3333333

Combine like terms: 583.3333333 + -583.3333333 = 0.0000000
0.0000000 + -50x + x2 = 0 + -583.3333333
-50x + x2 = 0 + -583.3333333

Combine like terms: 0 + -583.3333333 = -583.3333333
-50x + x2 = -583.3333333

The x term is -50x.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50x + 625 + x2 = -583.3333333 + 625

Reorder the terms:
625 + -50x + x2 = -583.3333333 + 625

Combine like terms: -583.3333333 + 625 = 41.6666667
625 + -50x + x2 = 41.6666667

Factor a perfect square on the left side:
(x + -25)(x + -25) = 41.6666667

Calculate the square root of the right side: 6.454972246

Break this problem into two subproblems by setting 
(x + -25) equal to 6.454972246 and -6.454972246.


Subproblem 1
x + -25 = 6.454972246

Simplifying
x + -25 = 6.454972246

Reorder the terms:
-25 + x = 6.454972246

Solving
-25 + x = 6.454972246

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = 6.454972246 + 25

Combine like terms: -25 + 25 = 0
0 + x = 6.454972246 + 25
x = 6.454972246 + 25

Combine like terms: 6.454972246 + 25 = 31.454972246
x = 31.454972246

Simplifying
x = 31.454972246


Subproblem 2
x + -25 = -6.454972246

Simplifying
x + -25 = -6.454972246

Reorder the terms:
-25 + x = -6.454972246

Solving
-25 + x = -6.454972246

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = -6.454972246 + 25

Combine like terms: -25 + 25 = 0
0 + x = -6.454972246 + 25
x = -6.454972246 + 25

Combine like terms: -6.454972246 + 25 = 18.545027754
x = 18.545027754

Simplifying
x = 18.545027754


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {31.454972246, 18.545027754}
Solution
x = {31.454972246, 18.545027754}

See similar equations:

| 4x+35=9x+5 | | -6x^2+300x-4000=0 | | -4-4x+x^2+x^3=0 | | 9N-19=7N+11 | | -6x^2+300x-3000=0 | | 18x^2+18x-343=0 | | x=13+8y | | 6b(a-8)-7(a-8)=0 | | 9N-17=7N+11 | | -6x^2+300x-2000=0 | | 15c^2-5c-40=0 | | 5+10x=45 | | m-9=-11 | | 8x^3+x^2-32x-4=0 | | -20-3x+2x^2=0 | | y+3x^4y=0 | | -6x^2+300x-1000=0 | | 16x^2-23x=0 | | 2x-27=-x | | 4x^6-9x^5=0 | | 4t^2=9t | | -16x^2+110x=0 | | 6b+9g-5=22 | | 4y^2-6y=0 | | 56l*5b=9 | | .40x+x+30+.60x+x=360 | | 4(2x-3)=-6(4-2) | | 8t-12=36 | | -16x^2+110x=185 | | 36x^2=16 | | 3.7y=9 | | 4+2s=3(s-2)+1 |

Equations solver categories