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Simplifying
2a2 + -1 + -13 = 2
Reorder the terms:
-1 + -13 + 2a2 = 2
Combine like terms: -1 + -13 = -14
-14 + 2a2 = 2
Solving
-14 + 2a2 = 2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2a2 = 2 + 14
Combine like terms: -14 + 14 = 0
0 + 2a2 = 2 + 14
2a2 = 2 + 14
Combine like terms: 2 + 14 = 16
2a2 = 16
Divide each side by '2'.
a2 = 8
Simplifying
a2 = 8
Take the square root of each side:
a = {-2.828427125, 2.828427125}
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