9x^2-84x+6912=0

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Solution for 9x^2-84x+6912=0 equation: 


Simplifying
9x2 + -84x + 6912 = 0

Reorder the terms:
6912 + -84x + 9x2 = 0

Solving
6912 + -84x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2304 + -28x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2304 + -28x + 3x2)' equal to zero and attempt to solve:

Simplifying
2304 + -28x + 3x2 = 0

Solving
2304 + -28x + 3x2 = 0

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

Divide each side by '3'.
768 + -9.333333333x + x2 = 0

Move the constant term to the right:

Add '-768' to each side of the equation.
768 + -9.333333333x + -768 + x2 = 0 + -768

Reorder the terms:
768 + -768 + -9.333333333x + x2 = 0 + -768

Combine like terms: 768 + -768 = 0
0 + -9.333333333x + x2 = 0 + -768
-9.333333333x + x2 = 0 + -768

Combine like terms: 0 + -768 = -768
-9.333333333x + x2 = -768

The x term is -9.333333333x.  Take half its coefficient (-4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
-9.333333333x + 21.77777778 + x2 = -768 + 21.77777778

Reorder the terms:
21.77777778 + -9.333333333x + x2 = -768 + 21.77777778

Combine like terms: -768 + 21.77777778 = -746.22222222
21.77777778 + -9.333333333x + x2 = -746.22222222

Factor a perfect square on the left side:
(x + -4.666666667)(x + -4.666666667) = -746.22222222

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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