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Simplifying
4a2 + -5 = 15
Reorder the terms:
-5 + 4a2 = 15
Solving
-5 + 4a2 = 15
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 4a2 = 15 + 5
Combine like terms: -5 + 5 = 0
0 + 4a2 = 15 + 5
4a2 = 15 + 5
Combine like terms: 15 + 5 = 20
4a2 = 20
Divide each side by '4'.
a2 = 5
Simplifying
a2 = 5
Take the square root of each side:
a = {-2.236067978, 2.236067978}
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