-7(11+5k)-3k(9k-12)=

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Solution for -7(11+5k)-3k(9k-12)= equation: 


Simplifying
-7(11 + 5k) + -3k(9k + -12) = 0
(11 * -7 + 5k * -7) + -3k(9k + -12) = 0
(-77 + -35k) + -3k(9k + -12) = 0

Reorder the terms:
-77 + -35k + -3k(-12 + 9k) = 0
-77 + -35k + (-12 * -3k + 9k * -3k) = 0
-77 + -35k + (36k + -27k2) = 0

Combine like terms: -35k + 36k = 1k
-77 + 1k + -27k2 = 0

Solving
-77 + 1k + -27k2 = 0

Solving for variable 'k'.

Begin completing the square.  Divide all terms by
-27 the coefficient of the squared term: 

Divide each side by '-27'.
2.851851852 + -0.03703703704k + k2 = 0

Move the constant term to the right:

Add '-2.851851852' to each side of the equation.
2.851851852 + -0.03703703704k + -2.851851852 + k2 = 0 + -2.851851852

Reorder the terms:
2.851851852 + -2.851851852 + -0.03703703704k + k2 = 0 + -2.851851852

Combine like terms: 2.851851852 + -2.851851852 = 0.000000000
0.000000000 + -0.03703703704k + k2 = 0 + -2.851851852
-0.03703703704k + k2 = 0 + -2.851851852

Combine like terms: 0 + -2.851851852 = -2.851851852
-0.03703703704k + k2 = -2.851851852

The k term is -0.03703703704k.  Take half its coefficient (-0.01851851852).
Square it (0.0003429355282) and add it to both sides.

Add '0.0003429355282' to each side of the equation.
-0.03703703704k + 0.0003429355282 + k2 = -2.851851852 + 0.0003429355282

Reorder the terms:
0.0003429355282 + -0.03703703704k + k2 = -2.851851852 + 0.0003429355282

Combine like terms: -2.851851852 + 0.0003429355282 = -2.8515089164718
0.0003429355282 + -0.03703703704k + k2 = -2.8515089164718

Factor a perfect square on the left side:
(k + -0.01851851852)(k + -0.01851851852) = -2.8515089164718

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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