(2x^2-12x+36)+(2y^2+8y+16)=24

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Solution for (2x^2-12x+36)+(2y^2+8y+16)=24 equation:


Simplifying
(2x2 + -12x + 36) + (2y2 + 8y + 16) = 24

Reorder the terms:
(36 + -12x + 2x2) + (2y2 + 8y + 16) = 24

Remove parenthesis around (36 + -12x + 2x2)
36 + -12x + 2x2 + (2y2 + 8y + 16) = 24

Reorder the terms:
36 + -12x + 2x2 + (16 + 8y + 2y2) = 24

Remove parenthesis around (16 + 8y + 2y2)
36 + -12x + 2x2 + 16 + 8y + 2y2 = 24

Reorder the terms:
36 + 16 + -12x + 2x2 + 8y + 2y2 = 24

Combine like terms: 36 + 16 = 52
52 + -12x + 2x2 + 8y + 2y2 = 24

Solving
52 + -12x + 2x2 + 8y + 2y2 = 24

Solving for variable 'x'.

Reorder the terms:
52 + -24 + -12x + 2x2 + 8y + 2y2 = 24 + -24

Combine like terms: 52 + -24 = 28
28 + -12x + 2x2 + 8y + 2y2 = 24 + -24

Combine like terms: 24 + -24 = 0
28 + -12x + 2x2 + 8y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -6x + x2 + 4y + y2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(14 + -6x + x2 + 4y + y2)' equal to zero and attempt to solve: Simplifying 14 + -6x + x2 + 4y + y2 = 0 Solving 14 + -6x + 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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