8x^2-2x+22=0

Simple and best practice solution for 8x^2-2x+22=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 8x^2-2x+22=0 equation: 


Simplifying
8x2 + -2x + 22 = 0

Reorder the terms:
22 + -2x + 8x2 = 0

Solving
22 + -2x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -1x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x + 4x2 = 0

Solving
11 + -1x + 4x2 = 0

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

Divide each side by '4'.
2.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -0.25x + -2.75 + x2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -0.25x + x2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -0.25x + x2 = 0 + -2.75
-0.25x + x2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-0.25x + x2 = -2.75

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -2.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -2.75 + 0.015625

Combine like terms: -2.75 + 0.015625 = -2.734375
0.015625 + -0.25x + x2 = -2.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -2.734375

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:

| 16.6+3n=0.8n+18 | | 2x^2-x-21= | | 4(-1)-(-5)=1 | | 6z+6-4(z+1)=-3z-1 | | 38+5n=3+8(4+n) | | -32w+4=0 | | 16.6+3n=0.8+18 | | -8z+8=-7z-10 | | 7x+3-6x=11 | | 45-5p=10-15p | | 5x^2-10x=-24 | | x^2=-180 | | 4(1)-3=1 | | X^6-6x+3=0 | | 4(1)-3=7 | | -6-4h=-14 | | 10-3x=5+2x | | 180*50=x | | x-(-12)=15 | | 4x+27=19 | | 21+3n=0.8n+18 | | 3w-12w=-36 | | 1.5*50=x | | 28=x-3 | | 3*50=x | | 4600/575=x | | -2x+12=22 | | r+5=1002 | | 5(x+7)=56 | | 12a+8=10 | | 4(x-6)=22 | | 12-2x-10=20 |

Equations solver categories