7x^2-4y^2+48y-172=0

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Solution for 7x^2-4y^2+48y-172=0 equation: 


Simplifying
7x2 + -4y2 + 48y + -172 = 0

Reorder the terms:
-172 + 7x2 + 48y + -4y2 = 0

Solving
-172 + 7x2 + 48y + -4y2 = 0

Solving for variable 'x'.

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

Add '172' to each side of the equation.
-172 + 7x2 + 48y + 172 + -4y2 = 0 + 172

Reorder the terms:
-172 + 172 + 7x2 + 48y + -4y2 = 0 + 172

Combine like terms: -172 + 172 = 0
0 + 7x2 + 48y + -4y2 = 0 + 172
7x2 + 48y + -4y2 = 0 + 172

Combine like terms: 0 + 172 = 172
7x2 + 48y + -4y2 = 172

Add '-48y' to each side of the equation.
7x2 + 48y + -48y + -4y2 = 172 + -48y

Combine like terms: 48y + -48y = 0
7x2 + 0 + -4y2 = 172 + -48y
7x2 + -4y2 = 172 + -48y

Add '4y2' to each side of the equation.
7x2 + -4y2 + 4y2 = 172 + -48y + 4y2

Combine like terms: -4y2 + 4y2 = 0
7x2 + 0 = 172 + -48y + 4y2
7x2 = 172 + -48y + 4y2

Divide each side by '7'.
x2 = 24.57142857 + -6.857142857y + 0.5714285714y2

Simplifying
x2 = 24.57142857 + -6.857142857y + 0.5714285714y2

Reorder the terms:
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 24.57142857 + -6.857142857y + 0.5714285714y2 + -24.57142857 + 6.857142857y + -0.5714285714y2

Reorder the terms:
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 24.57142857 + -24.57142857 + -6.857142857y + 6.857142857y + 0.5714285714y2 + -0.5714285714y2

Combine like terms: 24.57142857 + -24.57142857 = 0.00000000
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 0.00000000 + -6.857142857y + 6.857142857y + 0.5714285714y2 + -0.5714285714y2
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = -6.857142857y + 6.857142857y + 0.5714285714y2 + -0.5714285714y2

Combine like terms: -6.857142857y + 6.857142857y = 0.000000000
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 0.000000000 + 0.5714285714y2 + -0.5714285714y2
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 0.5714285714y2 + -0.5714285714y2

Combine like terms: 0.5714285714y2 + -0.5714285714y2 = 0.0000000000
-24.57142857 + x2 + 6.857142857y + -0.5714285714y2 = 0.0000000000

The solution to this equation could not be determined.

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