4x^2-48+y^2=-140

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Solution for 4x^2-48+y^2=-140 equation:


Simplifying
4x2 + -48 + y2 = -140

Reorder the terms:
-48 + 4x2 + y2 = -140

Solving
-48 + 4x2 + y2 = -140

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 4x2 + 48 + y2 = -140 + 48

Reorder the terms:
-48 + 48 + 4x2 + y2 = -140 + 48

Combine like terms: -48 + 48 = 0
0 + 4x2 + y2 = -140 + 48
4x2 + y2 = -140 + 48

Combine like terms: -140 + 48 = -92
4x2 + y2 = -92

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = -92 + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = -92 + -1y2
4x2 = -92 + -1y2

Divide each side by '4'.
x2 = -23 + -0.25y2

Simplifying
x2 = -23 + -0.25y2

Reorder the terms:
23 + x2 + 0.25y2 = -23 + -0.25y2 + 23 + 0.25y2

Reorder the terms:
23 + x2 + 0.25y2 = -23 + 23 + -0.25y2 + 0.25y2

Combine like terms: -23 + 23 = 0
23 + x2 + 0.25y2 = 0 + -0.25y2 + 0.25y2
23 + x2 + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
23 + x2 + 0.25y2 = 0.00

The solution to this equation could not be determined.

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