4a^2-b^2=45

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Solution for 4a^2-b^2=45 equation: 


Simplifying
4a2 + -1b2 = 45

Solving
4a2 + -1b2 = 45

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 = 45 + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 = 45 + b2
4a2 = 45 + b2

Divide each side by '4'.
a2 = 11.25 + 0.25b2

Simplifying
a2 = 11.25 + 0.25b2

Reorder the terms:
-11.25 + a2 + -0.25b2 = 11.25 + 0.25b2 + -11.25 + -0.25b2

Reorder the terms:
-11.25 + a2 + -0.25b2 = 11.25 + -11.25 + 0.25b2 + -0.25b2

Combine like terms: 11.25 + -11.25 = 0.00
-11.25 + a2 + -0.25b2 = 0.00 + 0.25b2 + -0.25b2
-11.25 + a2 + -0.25b2 = 0.25b2 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
-11.25 + a2 + -0.25b2 = 0.00

The solution to this equation could not be determined.

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