6x^2-12x+26=0

Simple and best practice solution for 6x^2-12x+26=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^2-12x+26=0 equation: 


Simplifying
6x2 + -12x + 26 = 0

Reorder the terms:
26 + -12x + 6x2 = 0

Solving
26 + -12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + -6x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + -6x + 3x2)' equal to zero and attempt to solve:

Simplifying
13 + -6x + 3x2 = 0

Solving
13 + -6x + 3x2 = 0

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

Divide each side by '3'.
4.333333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -2x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -2x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -4.333333333
-2x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-2x + x2 = -4.333333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -4.333333333 + 1

Reorder the terms:
1 + -2x + x2 = -4.333333333 + 1

Combine like terms: -4.333333333 + 1 = -3.333333333
1 + -2x + x2 = -3.333333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -3.333333333

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:

| 5(4x-7)-8=5(x-3)+77 | | 2x+6-7x=18-5x-20 | | 2x-(5x+6)=6x-15 | | 2x-2-7x=18-5x-20 | | 5(2x-8)-4=5(x-4)+1 | | 6x-4=6(x+8) | | 3(x^2)y+12x=0 | | 4x^2+9x=-2 | | 5(x+2)(x-6)=0 | | 7x^2=28x | | 10r^2-42r-40=0 | | b-2x=4(x+3b)-4solvex | | 4x^2+140x+1081=0 | | X^4-80=1 | | b-2x=4(x+3b)-4 | | 57=30-x^2 | | 2(x-23)+3(x-4)=22 | | -7t^2+62t+9=0 | | -4+(11+-4)*4= | | 3(x-5)+17=2(x+3) | | 2x^2+6x-176=0 | | 6-2x=4(x+3b)-4 | | n+23=3 | | 16+y=-3 | | 13-3n=3 | | y/3+2/5=y/5-2/5 | | -13-3n= | | -7x-28=0 | | 3=-15c+6 | | 5b+4-2b=28 | | 4y+1=3 | | x^2+19x+18=10x^2+14x-19 |

Equations solver categories