189=-6x+3x(-7x-18)

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Solution for 189=-6x+3x(-7x-18) equation: 


Simplifying
189 = -6x + 3x(-7x + -18)

Reorder the terms:
189 = -6x + 3x(-18 + -7x)
189 = -6x + (-18 * 3x + -7x * 3x)
189 = -6x + (-54x + -21x2)

Combine like terms: -6x + -54x = -60x
189 = -60x + -21x2

Solving
189 = -60x + -21x2

Solving for variable 'x'.

Reorder the terms:
189 + 60x + 21x2 = -60x + 60x + -21x2 + 21x2

Combine like terms: -60x + 60x = 0
189 + 60x + 21x2 = 0 + -21x2 + 21x2
189 + 60x + 21x2 = -21x2 + 21x2

Combine like terms: -21x2 + 21x2 = 0
189 + 60x + 21x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(63 + 20x + 7x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(63 + 20x + 7x2)' equal to zero and attempt to solve:

Simplifying
63 + 20x + 7x2 = 0

Solving
63 + 20x + 7x2 = 0

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

Divide each side by '7'.
9 + 2.857142857x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 2.857142857x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 2.857142857x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2.857142857x + x2 = 0 + -9
2.857142857x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
2.857142857x + x2 = -9

The x term is 2.857142857x.  Take half its coefficient (1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
2.857142857x + 2.040816328 + x2 = -9 + 2.040816328

Reorder the terms:
2.040816328 + 2.857142857x + x2 = -9 + 2.040816328

Combine like terms: -9 + 2.040816328 = -6.959183672
2.040816328 + 2.857142857x + x2 = -6.959183672

Factor a perfect square on the left side:
(x + 1.428571429)(x + 1.428571429) = -6.959183672

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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