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Simplifying
16a2 + -24 + 5 = 0
Reorder the terms:
-24 + 5 + 16a2 = 0
Combine like terms: -24 + 5 = -19
-19 + 16a2 = 0
Solving
-19 + 16a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 16a2 = 0 + 19
Combine like terms: -19 + 19 = 0
0 + 16a2 = 0 + 19
16a2 = 0 + 19
Combine like terms: 0 + 19 = 19
16a2 = 19
Divide each side by '16'.
a2 = 1.1875
Simplifying
a2 = 1.1875
Take the square root of each side:
a = {-1.089724736, 1.089724736}
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