6x^2-6x-300=0

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


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

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

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-50 + -1x + x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-50 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-50 + -1x + x2 = 0

Solving
-50 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + -1x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + -1x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x + x2 = 0 + 50
-1x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
-1x + x2 = 50

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 50 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 50 + 0.25

Combine like terms: 50 + 0.25 = 50.25
0.25 + -1x + x2 = 50.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 50.25

Calculate the square root of the right side: 7.088723439

Break this problem into two subproblems by setting 
(x + -0.5) equal to 7.088723439 and -7.088723439.


Subproblem 1
x + -0.5 = 7.088723439

Simplifying
x + -0.5 = 7.088723439

Reorder the terms:
-0.5 + x = 7.088723439

Solving
-0.5 + x = 7.088723439

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 7.088723439 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 7.088723439 + 0.5
x = 7.088723439 + 0.5

Combine like terms: 7.088723439 + 0.5 = 7.588723439
x = 7.588723439

Simplifying
x = 7.588723439


Subproblem 2
x + -0.5 = -7.088723439

Simplifying
x + -0.5 = -7.088723439

Reorder the terms:
-0.5 + x = -7.088723439

Solving
-0.5 + x = -7.088723439

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -7.088723439 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -7.088723439 + 0.5
x = -7.088723439 + 0.5

Combine like terms: -7.088723439 + 0.5 = -6.588723439
x = -6.588723439

Simplifying
x = -6.588723439


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.588723439, -6.588723439}
Solution
x = {7.588723439, -6.588723439}

See similar equations:

| 7n=7(9n+4) | | 5p-7=3p-5 | | 117=x-9 | | 36-a^2= | | 12x+9-4x-4= | | 7x+5(0)=70 | | 10=1/2(7)+b | | 2x+9(0)=54 | | 3x(20+7)=3 | | x^2-(x+2)(x+2)=60 | | -6x-5=-2x+3 | | 17+15+5x= | | -5=16+r | | 10=1/2(7)-9 | | 9m=30+3m | | 2w+76=120 | | -4(v-2)=4(v-8)-8r | | y^2+3x+8y+19=0 | | 5x+7x=12-6 | | 3.40-.95= | | 6x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x-507x=2 | | -4(v-2)=4(v-8)-81 | | 1/2b+7=22 | | 4x-3(-2)=-10 | | 7(0)+5y=70 | | -3x+1=-38 | | -7x-7=-2x-27 | | 3.05-2y=1.7y-.5y | | 2x+5x=3+4 | | x^3=72x | | 6(9h+8)=35+5h | | x+2y=3.05 |

Equations solver categories