3x^2+3y^2-6x=12y-21

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Solution for 3x^2+3y^2-6x=12y-21 equation:


Simplifying
3x2 + 3y2 + -6x = 12y + -21

Reorder the terms:
-6x + 3x2 + 3y2 = 12y + -21

Reorder the terms:
-6x + 3x2 + 3y2 = -21 + 12y

Solving
-6x + 3x2 + 3y2 = -21 + 12y

Solving for variable 'x'.

Reorder the terms:
21 + -6x + 3x2 + -12y + 3y2 = -21 + 12y + 21 + -12y

Reorder the terms:
21 + -6x + 3x2 + -12y + 3y2 = -21 + 21 + 12y + -12y

Combine like terms: -21 + 21 = 0
21 + -6x + 3x2 + -12y + 3y2 = 0 + 12y + -12y
21 + -6x + 3x2 + -12y + 3y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
21 + -6x + 3x2 + -12y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + -2x + x2 + -4y + y2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(7 + -2x + x2 + -4y + y2)' equal to zero and attempt to solve: Simplifying 7 + -2x + x2 + -4y + y2 = 0 Solving 7 + -2x + x2 + -4y + y2 = 0 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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