8=-2A^2+16

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Solution for 8=-2A^2+16 equation:


Simplifying
8 = -2A2 + 16

Reorder the terms:
8 = 16 + -2A2

Solving
8 = 16 + -2A2

Solving for variable 'A'.

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

Add '2A2' to each side of the equation.
8 + 2A2 = 16 + -2A2 + 2A2

Combine like terms: -2A2 + 2A2 = 0
8 + 2A2 = 16 + 0
8 + 2A2 = 16

Add '-8' to each side of the equation.
8 + -8 + 2A2 = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 2A2 = 16 + -8
2A2 = 16 + -8

Combine like terms: 16 + -8 = 8
2A2 = 8

Divide each side by '2'.
A2 = 4

Simplifying
A2 = 4

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

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