2(a^2+2)+2a^2=20

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Solution for 2(a^2+2)+2a^2=20 equation:


Simplifying
2(a2 + 2) + 2a2 = 20

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

Combine like terms: 2a2 + 2a2 = 4a2
4 + 4a2 = 20

Solving
4 + 4a2 = 20

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 + -4 + 4a2 = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 4a2 = 20 + -4
4a2 = 20 + -4

Combine like terms: 20 + -4 = 16
4a2 = 16

Divide each side by '4'.
a2 = 4

Simplifying
a2 = 4

Take the square root of each side:
a = {-2, 2}

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