4a^2-9b^2=19

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Solution for 4a^2-9b^2=19 equation: 


Simplifying
4a2 + -9b2 = 19

Solving
4a2 + -9b2 = 19

Solving for variable 'a'.

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

Add '9b2' to each side of the equation.
4a2 + -9b2 + 9b2 = 19 + 9b2

Combine like terms: -9b2 + 9b2 = 0
4a2 + 0 = 19 + 9b2
4a2 = 19 + 9b2

Divide each side by '4'.
a2 = 4.75 + 2.25b2

Simplifying
a2 = 4.75 + 2.25b2

Reorder the terms:
-4.75 + a2 + -2.25b2 = 4.75 + 2.25b2 + -4.75 + -2.25b2

Reorder the terms:
-4.75 + a2 + -2.25b2 = 4.75 + -4.75 + 2.25b2 + -2.25b2

Combine like terms: 4.75 + -4.75 = 0.00
-4.75 + a2 + -2.25b2 = 0.00 + 2.25b2 + -2.25b2
-4.75 + a2 + -2.25b2 = 2.25b2 + -2.25b2

Combine like terms: 2.25b2 + -2.25b2 = 0.00
-4.75 + a2 + -2.25b2 = 0.00

The solution to this equation could not be determined.

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