5(a^2+4)+2(a^2+b^2)=

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Solution for 5(a^2+4)+2(a^2+b^2)= equation: 


Simplifying
5(a2 + 4) + 2(a2 + b2) = 0

Reorder the terms:
5(4 + a2) + 2(a2 + b2) = 0
(4 * 5 + a2 * 5) + 2(a2 + b2) = 0
(20 + 5a2) + 2(a2 + b2) = 0
20 + 5a2 + (a2 * 2 + b2 * 2) = 0
20 + 5a2 + (2a2 + 2b2) = 0

Combine like terms: 5a2 + 2a2 = 7a2
20 + 7a2 + 2b2 = 0

Solving
20 + 7a2 + 2b2 = 0

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + 7a2 + -20 + 2b2 = 0 + -20

Reorder the terms:
20 + -20 + 7a2 + 2b2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7a2 + 2b2 = 0 + -20
7a2 + 2b2 = 0 + -20

Combine like terms: 0 + -20 = -20
7a2 + 2b2 = -20

Add '-2b2' to each side of the equation.
7a2 + 2b2 + -2b2 = -20 + -2b2

Combine like terms: 2b2 + -2b2 = 0
7a2 + 0 = -20 + -2b2
7a2 = -20 + -2b2

Divide each side by '7'.
a2 = -2.857142857 + -0.2857142857b2

Simplifying
a2 = -2.857142857 + -0.2857142857b2

Reorder the terms:
2.857142857 + a2 + 0.2857142857b2 = -2.857142857 + -0.2857142857b2 + 2.857142857 + 0.2857142857b2

Reorder the terms:
2.857142857 + a2 + 0.2857142857b2 = -2.857142857 + 2.857142857 + -0.2857142857b2 + 0.2857142857b2

Combine like terms: -2.857142857 + 2.857142857 = 0.000000000
2.857142857 + a2 + 0.2857142857b2 = 0.000000000 + -0.2857142857b2 + 0.2857142857b2
2.857142857 + a2 + 0.2857142857b2 = -0.2857142857b2 + 0.2857142857b2

Combine like terms: -0.2857142857b2 + 0.2857142857b2 = 0.0000000000
2.857142857 + a2 + 0.2857142857b2 = 0.0000000000

The solution to this equation could not be determined.

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