0=8k^2-12k+9

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Solution for 0=8k^2-12k+9 equation:


Simplifying
0 = 8k2 + -12k + 9

Reorder the terms:
0 = 9 + -12k + 8k2

Solving
0 = 9 + -12k + 8k2

Solving for variable 'k'.

Combine like terms: 0 + -9 = -9
-9 + 12k + -8k2 = 9 + -12k + 8k2 + -9 + 12k + -8k2

Reorder the terms:
-9 + 12k + -8k2 = 9 + -9 + -12k + 12k + 8k2 + -8k2

Combine like terms: 9 + -9 = 0
-9 + 12k + -8k2 = 0 + -12k + 12k + 8k2 + -8k2
-9 + 12k + -8k2 = -12k + 12k + 8k2 + -8k2

Combine like terms: -12k + 12k = 0
-9 + 12k + -8k2 = 0 + 8k2 + -8k2
-9 + 12k + -8k2 = 8k2 + -8k2

Combine like terms: 8k2 + -8k2 = 0
-9 + 12k + -8k2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
1.125 + -1.5k + k2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -1.5k + -1.125 + k2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -1.5k + k2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -1.5k + k2 = 0 + -1.125
-1.5k + k2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-1.5k + k2 = -1.125

The k term is -1.5k.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5k + 0.5625 + k2 = -1.125 + 0.5625

Reorder the terms:
0.5625 + -1.5k + k2 = -1.125 + 0.5625

Combine like terms: -1.125 + 0.5625 = -0.5625
0.5625 + -1.5k + k2 = -0.5625

Factor a perfect square on the left side:
(k + -0.75)(k + -0.75) = -0.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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