4a^2+b^2=12

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Solution for 4a^2+b^2=12 equation:


Simplifying
4a2 + b2 = 12

Solving
4a2 + b2 = 12

Solving for variable 'a'.

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

Add '-1b2' to each side of the equation.
4a2 + b2 + -1b2 = 12 + -1b2

Combine like terms: b2 + -1b2 = 0
4a2 + 0 = 12 + -1b2
4a2 = 12 + -1b2

Divide each side by '4'.
a2 = 3 + -0.25b2

Simplifying
a2 = 3 + -0.25b2

Reorder the terms:
-3 + a2 + 0.25b2 = 3 + -0.25b2 + -3 + 0.25b2

Reorder the terms:
-3 + a2 + 0.25b2 = 3 + -3 + -0.25b2 + 0.25b2

Combine like terms: 3 + -3 = 0
-3 + a2 + 0.25b2 = 0 + -0.25b2 + 0.25b2
-3 + a2 + 0.25b2 = -0.25b2 + 0.25b2

Combine like terms: -0.25b2 + 0.25b2 = 0.00
-3 + a2 + 0.25b2 = 0.00

The solution to this equation could not be determined.

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