-9k(10k+3)+9(k-7)=

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Solution for -9k(10k+3)+9(k-7)= equation: 


Simplifying
-9k(10k + 3) + 9(k + -7) = 0

Reorder the terms:
-9k(3 + 10k) + 9(k + -7) = 0
(3 * -9k + 10k * -9k) + 9(k + -7) = 0
(-27k + -90k2) + 9(k + -7) = 0

Reorder the terms:
-27k + -90k2 + 9(-7 + k) = 0
-27k + -90k2 + (-7 * 9 + k * 9) = 0
-27k + -90k2 + (-63 + 9k) = 0

Reorder the terms:
-63 + -27k + 9k + -90k2 = 0

Combine like terms: -27k + 9k = -18k
-63 + -18k + -90k2 = 0

Solving
-63 + -18k + -90k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-9'.
-9(7 + 2k + 10k2) = 0

Ignore the factor -9.

Subproblem 1
Set the factor '(7 + 2k + 10k2)' equal to zero and attempt to solve:

Simplifying
7 + 2k + 10k2 = 0

Solving
7 + 2k + 10k2 = 0

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

Divide each side by '10'.
0.7 + 0.2k + k2 = 0.0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + 0.2k + -0.7 + k2 = 0.0 + -0.7

Reorder the terms:
0.7 + -0.7 + 0.2k + k2 = 0.0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.2k + k2 = 0.0 + -0.7
0.2k + k2 = 0.0 + -0.7

Combine like terms: 0.0 + -0.7 = -0.7
0.2k + k2 = -0.7

The k term is 0.2k.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2k + 0.01 + k2 = -0.7 + 0.01

Reorder the terms:
0.01 + 0.2k + k2 = -0.7 + 0.01

Combine like terms: -0.7 + 0.01 = -0.69
0.01 + 0.2k + k2 = -0.69

Factor a perfect square on the left side:
(k + 0.1)(k + 0.1) = -0.69

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.

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