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Simplifying
24 = (a + 2a) * a
Combine like terms: a + 2a = 3a
24 = (3a) * a
Remove parenthesis around (3a)
24 = 3a * a
Multiply a * a
24 = 3a2
Solving
24 = 3a2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-3a2' to each side of the equation.
24 + -3a2 = 3a2 + -3a2
Combine like terms: 3a2 + -3a2 = 0
24 + -3a2 = 0
Add '-24' to each side of the equation.
24 + -24 + -3a2 = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -3a2 = 0 + -24
-3a2 = 0 + -24
Combine like terms: 0 + -24 = -24
-3a2 = -24
Divide each side by '-3'.
a2 = 8
Simplifying
a2 = 8
Take the square root of each side:
a = {-2.828427125, 2.828427125}
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