8k^2-16k+71=5

Simple and best practice solution for 8k^2-16k+71=5 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 8k^2-16k+71=5 equation: 


Simplifying
8k2 + -16k + 71 = 5

Reorder the terms:
71 + -16k + 8k2 = 5

Solving
71 + -16k + 8k2 = 5

Solving for variable 'k'.

Reorder the terms:
71 + -5 + -16k + 8k2 = 5 + -5

Combine like terms: 71 + -5 = 66
66 + -16k + 8k2 = 5 + -5

Combine like terms: 5 + -5 = 0
66 + -16k + 8k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -8k + 4k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(33 + -8k + 4k2)' equal to zero and attempt to solve:

Simplifying
33 + -8k + 4k2 = 0

Solving
33 + -8k + 4k2 = 0

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

Divide each side by '4'.
8.25 + -2k + k2 = 0

Move the constant term to the right:

Add '-8.25' to each side of the equation.
8.25 + -2k + -8.25 + k2 = 0 + -8.25

Reorder the terms:
8.25 + -8.25 + -2k + k2 = 0 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + -2k + k2 = 0 + -8.25
-2k + k2 = 0 + -8.25

Combine like terms: 0 + -8.25 = -8.25
-2k + k2 = -8.25

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

Add '1' to each side of the equation.
-2k + 1 + k2 = -8.25 + 1

Reorder the terms:
1 + -2k + k2 = -8.25 + 1

Combine like terms: -8.25 + 1 = -7.25
1 + -2k + k2 = -7.25

Factor a perfect square on the left side:
(k + -1)(k + -1) = -7.25

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:

| 4x+14=85-5x | | 3a/6 | | 219-5X=40X+24 | | 3t-whent=4 | | 4z+2(z-2x)= | | 1-5(x-5)=1-3(x-1) | | 6X+11=3X+83 | | 3(2m+1)=7m+1 | | 3t-13whent=4 | | 3(x-2)/6+2(x+1)/8+(3-x)/10=5 | | 14/x4=6/x | | 5(y-1)-3(y+2)=-9 | | 9-10x=57-24 | | g^2+3g=-6 | | 12n-4=60 | | 1/3x+8=4 | | 10-1000=x | | 1/(z+2)+3/(z+4)=2/(z^2+6z+8) | | -12u^2=-30y | | 5x^2-30x+17=0 | | -4+-12+8= | | 5x^2-15=22x | | 2p-(p-1)=12 | | 1/(t+1)+9/(t+3)=2/(t^2+4t+3) | | 5-y=-2x | | N^6-9x^2y^2=0 | | (8x4-2x2)/(2x2) | | 1/(x+3)+9/(x+6)=3/(x^2+9x+18) | | 25-3w=2w | | 4x-284=5x-14 | | N^4-4x^2y^2=0 | | 4x+13=89 |

Equations solver categories