3a^2+4b^2=1156

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Solution for 3a^2+4b^2=1156 equation:


Simplifying
3a2 + 4b2 = 1156

Solving
3a2 + 4b2 = 1156

Solving for variable 'a'.

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

Add '-4b2' to each side of the equation.
3a2 + 4b2 + -4b2 = 1156 + -4b2

Combine like terms: 4b2 + -4b2 = 0
3a2 + 0 = 1156 + -4b2
3a2 = 1156 + -4b2

Divide each side by '3'.
a2 = 385.3333333 + -1.333333333b2

Simplifying
a2 = 385.3333333 + -1.333333333b2

Reorder the terms:
-385.3333333 + a2 + 1.333333333b2 = 385.3333333 + -1.333333333b2 + -385.3333333 + 1.333333333b2

Reorder the terms:
-385.3333333 + a2 + 1.333333333b2 = 385.3333333 + -385.3333333 + -1.333333333b2 + 1.333333333b2

Combine like terms: 385.3333333 + -385.3333333 = 0.0000000
-385.3333333 + a2 + 1.333333333b2 = 0.0000000 + -1.333333333b2 + 1.333333333b2
-385.3333333 + a2 + 1.333333333b2 = -1.333333333b2 + 1.333333333b2

Combine like terms: -1.333333333b2 + 1.333333333b2 = 0.000000000
-385.3333333 + a2 + 1.333333333b2 = 0.000000000

The solution to this equation could not be determined.

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