6x^2-52x+624=0

Simple and best practice solution for 6x^2-52x+624=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^2-52x+624=0 equation: 


Simplifying
6x2 + -52x + 624 = 0

Reorder the terms:
624 + -52x + 6x2 = 0

Solving
624 + -52x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(312 + -26x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(312 + -26x + 3x2)' equal to zero and attempt to solve:

Simplifying
312 + -26x + 3x2 = 0

Solving
312 + -26x + 3x2 = 0

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

Divide each side by '3'.
104 + -8.666666667x + x2 = 0

Move the constant term to the right:

Add '-104' to each side of the equation.
104 + -8.666666667x + -104 + x2 = 0 + -104

Reorder the terms:
104 + -104 + -8.666666667x + x2 = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -8.666666667x + x2 = 0 + -104
-8.666666667x + x2 = 0 + -104

Combine like terms: 0 + -104 = -104
-8.666666667x + x2 = -104

The x term is -8.666666667x.  Take half its coefficient (-4.333333334).
Square it (18.77777778) and add it to both sides.

Add '18.77777778' to each side of the equation.
-8.666666667x + 18.77777778 + x2 = -104 + 18.77777778

Reorder the terms:
18.77777778 + -8.666666667x + x2 = -104 + 18.77777778

Combine like terms: -104 + 18.77777778 = -85.22222222
18.77777778 + -8.666666667x + x2 = -85.22222222

Factor a perfect square on the left side:
(x + -4.333333334)(x + -4.333333334) = -85.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 3N-12=0 | | 7Y+3=2 | | 12z(8y+8z)+96z= | | -6+13B=11 | | (14c/b^2)/(7c^5/2b^3c) | | (14c/b^2)/7c^5/2b^3c | | (6x^2+17x+8)/(x-2) | | 3d2-7=25/4 | | 4N-12=12 | | 3-(4x+4)=2(4x-4) | | 10/w=2/w+4 | | 10/w=2/w+4 | | 7-1/3B=10 | | 2/3c-11.988 | | -5(m+3)= | | 4m+3=2m-8 | | 29+3x=4(2-x) | | 7h-2=-5 | | 8t+6=30 | | x-4=x+9 | | f(2)=7(2)-5 | | 0.3-0.2(3-5x)=-0.5(x-6) | | 1/3Z=4 | | 1/3Z+4 | | k^2-4k-25=0 | | 6a-1+2a= | | Y/4+y-20/10=5y+3/5 | | 6d-7g-8+9g+3d= | | X-4/5+x+20/36=61/30 | | 83+75+75+x=80 | | 3x^2+507=0 | | 5x^2+19x-101=0 |

Equations solver categories