10k^2-4k+10=8

Simple and best practice solution for 10k^2-4k+10=8 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 10k^2-4k+10=8 equation: 


Simplifying
10k2 + -4k + 10 = 8

Reorder the terms:
10 + -4k + 10k2 = 8

Solving
10 + -4k + 10k2 = 8

Solving for variable 'k'.

Reorder the terms:
10 + -8 + -4k + 10k2 = 8 + -8

Combine like terms: 10 + -8 = 2
2 + -4k + 10k2 = 8 + -8

Combine like terms: 8 + -8 = 0
2 + -4k + 10k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2k + 5k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -2k + 5k2)' equal to zero and attempt to solve:

Simplifying
1 + -2k + 5k2 = 0

Solving
1 + -2k + 5k2 = 0

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

Divide each side by '5'.
0.2 + -0.4k + k2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.4k + -0.2 + k2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.4k + k2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4k + k2 = 0 + -0.2
-0.4k + k2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.4k + k2 = -0.2

The k term is -0.4k.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4k + 0.04 + k2 = -0.2 + 0.04

Reorder the terms:
0.04 + -0.4k + k2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + -0.4k + k2 = -0.16

Factor a perfect square on the left side:
(k + -0.2)(k + -0.2) = -0.16

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:

| (18+x)4=684 | | 0.1x+6.5=0 | | -12x=5 | | -3a-1=8-3a | | 4(x+p)= | | (x-325)/x=0,12 | | .15x=375 | | 2+1=9-13 | | 8x=2(3x-5) | | (x-5)2+(y-7)2=4 | | F=3x+1 | | X-6=-54 | | x(x+3)x(x+3)=22 | | 6x+4(2x)=28 | | 5(5x)=125 | | 2b-7=3b+3 | | 6/2y-5=2/y-7 | | 60z+59-97z=-37z+49 | | 9x+2-8x-5=14 | | 15p-25=20 | | 6(x-6)+34=5x-4 | | 12y+3=9y+18 | | 12+5m=7m-2 | | 4(x-8)+28=4x-3 | | 7z-23=19 | | 8y^2+28y-49=37 | | 3(2y+3y)+4=5y | | 5(2x+15)=90 | | 3(2y+3y)+4=50 | | 6(w+2)=-4(2w+4)+8w | | 4x-1=3(x+1)x | | X^2-96=-10x |

Equations solver categories