4x^2-4x+22=0

Simple and best practice solution for 4x^2-4x+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 4x^2-4x+22=0 equation:


Simplifying
4x2 + -4x + 22 = 0

Reorder the terms:
22 + -4x + 4x2 = 0

Solving
22 + -4x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(11 + -2x + 2x2)' equal to zero and attempt to solve: Simplifying 11 + -2x + 2x2 = 0 Solving 11 + -2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5.5 + -1x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -1x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -1x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1x + x2 = 0 + -5.5 -1x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -1x + x2 = -5.5 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 = -5.5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -5.5 + 0.25 Combine like terms: -5.5 + 0.25 = -5.25 0.25 + -1x + x2 = -5.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -5.25 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:

| 0.02777777777x^2-25=0 | | 7x+6y=2 | | x-7=-72 | | x^2+11x+b=0 | | 3x(2x-4xy-y+2)= | | (-2/3)x=-4/9 | | 10x+5=50+5x | | y=2x^2+8x+4 | | 3.0625-x^2=0 | | x^2+4x+y^2+2y-1=0 | | 17-9x=-8 | | r^2+r-42=0 | | x^2-4x+y^2+2y-1=0 | | 6a-5(a-1)=11 | | 2m+6+4m=12 | | 3x+6+9x+8=0 | | 2x+6=x-9 | | 27x^3-48x=0 | | n^3+2n^3-35n=0 | | -4+5-2a-9=44 | | 5t+10-3=0 | | 9x-5=1/4(16x+60) | | r^2+5r+2=2 | | r^2+5r+2=0 | | 5+(6-7p)-8=0 | | 6n-12n=54 | | 5b+2=b-10 | | 7x+4=29+2x | | -6c+4=-8c | | 2(4n-6)=3n+9 | | x^3+4x=21 | | 2(3x-4)-7x=25 |

Equations solver categories