a^2-5b^2+1+4b^2+a^2-5=

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Solution for a^2-5b^2+1+4b^2+a^2-5= equation:


Simplifying
a2 + -5b2 + 1 + 4b2 + a2 + -5 = 0

Reorder the terms:
1 + -5 + a2 + a2 + -5b2 + 4b2 = 0

Combine like terms: 1 + -5 = -4
-4 + a2 + a2 + -5b2 + 4b2 = 0

Combine like terms: a2 + a2 = 2a2
-4 + 2a2 + -5b2 + 4b2 = 0

Combine like terms: -5b2 + 4b2 = -1b2
-4 + 2a2 + -1b2 = 0

Solving
-4 + 2a2 + -1b2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 2a2 + 4 + -1b2 = 0 + 4

Reorder the terms:
-4 + 4 + 2a2 + -1b2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2a2 + -1b2 = 0 + 4
2a2 + -1b2 = 0 + 4

Combine like terms: 0 + 4 = 4
2a2 + -1b2 = 4

Add 'b2' to each side of the equation.
2a2 + -1b2 + b2 = 4 + b2

Combine like terms: -1b2 + b2 = 0
2a2 + 0 = 4 + b2
2a2 = 4 + b2

Divide each side by '2'.
a2 = 2 + 0.5b2

Simplifying
a2 = 2 + 0.5b2

Reorder the terms:
-2 + a2 + -0.5b2 = 2 + 0.5b2 + -2 + -0.5b2

Reorder the terms:
-2 + a2 + -0.5b2 = 2 + -2 + 0.5b2 + -0.5b2

Combine like terms: 2 + -2 = 0
-2 + a2 + -0.5b2 = 0 + 0.5b2 + -0.5b2
-2 + a2 + -0.5b2 = 0.5b2 + -0.5b2

Combine like terms: 0.5b2 + -0.5b2 = 0.0
-2 + a2 + -0.5b2 = 0.0

The solution to this equation could not be determined.

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