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Simplifying
(2a2 + -56) = (a2 + 15)
Reorder the terms:
(-56 + 2a2) = (a2 + 15)
Remove parenthesis around (-56 + 2a2)
-56 + 2a2 = (a2 + 15)
Reorder the terms:
-56 + 2a2 = (15 + a2)
Remove parenthesis around (15 + a2)
-56 + 2a2 = 15 + a2
Solving
-56 + 2a2 = 15 + a2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-1a2' to each side of the equation.
-56 + 2a2 + -1a2 = 15 + a2 + -1a2
Combine like terms: 2a2 + -1a2 = 1a2
-56 + 1a2 = 15 + a2 + -1a2
Combine like terms: a2 + -1a2 = 0
-56 + 1a2 = 15 + 0
-56 + 1a2 = 15
Add '56' to each side of the equation.
-56 + 56 + 1a2 = 15 + 56
Combine like terms: -56 + 56 = 0
0 + 1a2 = 15 + 56
1a2 = 15 + 56
Combine like terms: 15 + 56 = 71
1a2 = 71
Divide each side by '1'.
a2 = 71
Simplifying
a2 = 71
Take the square root of each side:
a = {-8.426149773, 8.426149773}
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