100y^2=4x^2-4x-1

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Solution for 100y^2=4x^2-4x-1 equation: 


Simplifying
100y2 = 4x2 + -4x + -1

Reorder the terms:
100y2 = -1 + -4x + 4x2

Solving
100y2 = -1 + -4x + 4x2

Solving for variable 'y'.

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

Divide each side by '100'.
y2 = -0.01 + -0.04x + 0.04x2

Simplifying
y2 = -0.01 + -0.04x + 0.04x2

Reorder the terms:
0.01 + 0.04x + -0.04x2 + y2 = -0.01 + -0.04x + 0.04x2 + 0.01 + 0.04x + -0.04x2

Reorder the terms:
0.01 + 0.04x + -0.04x2 + y2 = -0.01 + 0.01 + -0.04x + 0.04x + 0.04x2 + -0.04x2

Combine like terms: -0.01 + 0.01 = 0.00
0.01 + 0.04x + -0.04x2 + y2 = 0.00 + -0.04x + 0.04x + 0.04x2 + -0.04x2
0.01 + 0.04x + -0.04x2 + y2 = -0.04x + 0.04x + 0.04x2 + -0.04x2

Combine like terms: -0.04x + 0.04x = 0.00
0.01 + 0.04x + -0.04x2 + y2 = 0.00 + 0.04x2 + -0.04x2
0.01 + 0.04x + -0.04x2 + y2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
0.01 + 0.04x + -0.04x2 + y2 = 0.00

The solution to this equation could not be determined.

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