4x^2+8x=38-6y^2

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Solution for 4x^2+8x=38-6y^2 equation:


Simplifying
4x2 + 8x = 38 + -6y2

Reorder the terms:
8x + 4x2 = 38 + -6y2

Solving
8x + 4x2 = 38 + -6y2

Solving for variable 'x'.

Reorder the terms:
-38 + 8x + 4x2 + 6y2 = 38 + -6y2 + -38 + 6y2

Reorder the terms:
-38 + 8x + 4x2 + 6y2 = 38 + -38 + -6y2 + 6y2

Combine like terms: 38 + -38 = 0
-38 + 8x + 4x2 + 6y2 = 0 + -6y2 + 6y2
-38 + 8x + 4x2 + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-38 + 8x + 4x2 + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-19 + 4x + 2x2 + 3y2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-19 + 4x + 2x2 + 3y2)' equal to zero and attempt to solve: Simplifying -19 + 4x + 2x2 + 3y2 = 0 Solving -19 + 4x + 2x2 + 3y2 = 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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