25x^2+16=y^2-6y

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Solution for 25x^2+16=y^2-6y equation:


Simplifying
25x2 + 16 = y2 + -6y

Reorder the terms:
16 + 25x2 = y2 + -6y

Reorder the terms:
16 + 25x2 = -6y + y2

Solving
16 + 25x2 = -6y + y2

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 25x2 = -6y + -16 + y2

Combine like terms: 16 + -16 = 0
0 + 25x2 = -6y + -16 + y2
25x2 = -6y + -16 + y2

Reorder the terms:
25x2 = -16 + -6y + y2

Divide each side by '25'.
x2 = -0.64 + -0.24y + 0.04y2

Simplifying
x2 = -0.64 + -0.24y + 0.04y2

Reorder the terms:
0.64 + x2 + 0.24y + -0.04y2 = -0.64 + -0.24y + 0.04y2 + 0.64 + 0.24y + -0.04y2

Reorder the terms:
0.64 + x2 + 0.24y + -0.04y2 = -0.64 + 0.64 + -0.24y + 0.24y + 0.04y2 + -0.04y2

Combine like terms: -0.64 + 0.64 = 0.00
0.64 + x2 + 0.24y + -0.04y2 = 0.00 + -0.24y + 0.24y + 0.04y2 + -0.04y2
0.64 + x2 + 0.24y + -0.04y2 = -0.24y + 0.24y + 0.04y2 + -0.04y2

Combine like terms: -0.24y + 0.24y = 0.00
0.64 + x2 + 0.24y + -0.04y2 = 0.00 + 0.04y2 + -0.04y2
0.64 + x2 + 0.24y + -0.04y2 = 0.04y2 + -0.04y2

Combine like terms: 0.04y2 + -0.04y2 = 0.00
0.64 + x2 + 0.24y + -0.04y2 = 0.00

The solution to this equation could not be determined.

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