4(X^2-3X)+4(Y^2+Y)=134

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Solution for 4(X^2-3X)+4(Y^2+Y)=134 equation: 


Simplifying
4(X2 + -3X) + 4(Y2 + Y) = 134

Reorder the terms:
4(-3X + X2) + 4(Y2 + Y) = 134
(-3X * 4 + X2 * 4) + 4(Y2 + Y) = 134
(-12X + 4X2) + 4(Y2 + Y) = 134

Reorder the terms:
-12X + 4X2 + 4(Y + Y2) = 134
-12X + 4X2 + (Y * 4 + Y2 * 4) = 134
-12X + 4X2 + (4Y + 4Y2) = 134

Solving
-12X + 4X2 + 4Y + 4Y2 = 134

Solving for variable 'X'.

Reorder the terms:
-134 + -12X + 4X2 + 4Y + 4Y2 = 134 + -134

Combine like terms: 134 + -134 = 0
-134 + -12X + 4X2 + 4Y + 4Y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-67 + -6X + 2X2 + 2Y + 2Y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-67 + -6X + 2X2 + 2Y + 2Y2)' equal to zero and attempt to solve:

Simplifying
-67 + -6X + 2X2 + 2Y + 2Y2 = 0

Solving
-67 + -6X + 2X2 + 2Y + 2Y2 = 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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