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Simplifying
3q2 + 9 + -24 = 0
Reorder the terms:
9 + -24 + 3q2 = 0
Combine like terms: 9 + -24 = -15
-15 + 3q2 = 0
Solving
-15 + 3q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 3q2 = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 3q2 = 0 + 15
3q2 = 0 + 15
Combine like terms: 0 + 15 = 15
3q2 = 15
Divide each side by '3'.
q2 = 5
Simplifying
q2 = 5
Take the square root of each side:
q = {-2.236067978, 2.236067978}
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