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Simplifying
3a2 + -11 = 21 + a2
Reorder the terms:
-11 + 3a2 = 21 + a2
Solving
-11 + 3a2 = 21 + 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.
-11 + 3a2 + -1a2 = 21 + a2 + -1a2
Combine like terms: 3a2 + -1a2 = 2a2
-11 + 2a2 = 21 + a2 + -1a2
Combine like terms: a2 + -1a2 = 0
-11 + 2a2 = 21 + 0
-11 + 2a2 = 21
Add '11' to each side of the equation.
-11 + 11 + 2a2 = 21 + 11
Combine like terms: -11 + 11 = 0
0 + 2a2 = 21 + 11
2a2 = 21 + 11
Combine like terms: 21 + 11 = 32
2a2 = 32
Divide each side by '2'.
a2 = 16
Simplifying
a2 = 16
Take the square root of each side:
a = {-4, 4}
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