3x^2+7xy+ky^2-4=0

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Solution for 3x^2+7xy+ky^2-4=0 equation: 


Simplifying
3x2 + 7xy + ky2 + -4 = 0

Reorder the terms:
-4 + ky2 + 7xy + 3x2 = 0

Solving
-4 + ky2 + 7xy + 3x2 = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + ky2 + 7xy + 4 + 3x2 = 0 + 4

Reorder the terms:
-4 + 4 + ky2 + 7xy + 3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + ky2 + 7xy + 3x2 = 0 + 4
ky2 + 7xy + 3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
ky2 + 7xy + 3x2 = 4

Add '-7xy' to each side of the equation.
ky2 + 7xy + -7xy + 3x2 = 4 + -7xy

Combine like terms: 7xy + -7xy = 0
ky2 + 0 + 3x2 = 4 + -7xy
ky2 + 3x2 = 4 + -7xy

Add '-3x2' to each side of the equation.
ky2 + 3x2 + -3x2 = 4 + -7xy + -3x2

Combine like terms: 3x2 + -3x2 = 0
ky2 + 0 = 4 + -7xy + -3x2
ky2 = 4 + -7xy + -3x2

Divide each side by 'y2'.
k = 4y-2 + -7xy-1 + -3x2y-2

Simplifying
k = 4y-2 + -7xy-1 + -3x2y-2

Reorder the terms:
k = -7xy-1 + -3x2y-2 + 4y-2

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