4x^2-5y^2=7

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Solution for 4x^2-5y^2=7 equation:


Simplifying
4x2 + -5y2 = 7

Solving
4x2 + -5y2 = 7

Solving for variable 'x'.

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

Add '5y2' to each side of the equation.
4x2 + -5y2 + 5y2 = 7 + 5y2

Combine like terms: -5y2 + 5y2 = 0
4x2 + 0 = 7 + 5y2
4x2 = 7 + 5y2

Divide each side by '4'.
x2 = 1.75 + 1.25y2

Simplifying
x2 = 1.75 + 1.25y2

Reorder the terms:
-1.75 + x2 + -1.25y2 = 1.75 + 1.25y2 + -1.75 + -1.25y2

Reorder the terms:
-1.75 + x2 + -1.25y2 = 1.75 + -1.75 + 1.25y2 + -1.25y2

Combine like terms: 1.75 + -1.75 = 0.00
-1.75 + x2 + -1.25y2 = 0.00 + 1.25y2 + -1.25y2
-1.75 + x2 + -1.25y2 = 1.25y2 + -1.25y2

Combine like terms: 1.25y2 + -1.25y2 = 0.00
-1.75 + x2 + -1.25y2 = 0.00

The solution to this equation could not be determined.

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