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Simplifying
9q2 + -6 = 0
Reorder the terms:
-6 + 9q2 = 0
Solving
-6 + 9q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 9q2 = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 9q2 = 0 + 6
9q2 = 0 + 6
Combine like terms: 0 + 6 = 6
9q2 = 6
Divide each side by '9'.
q2 = 0.6666666667
Simplifying
q2 = 0.6666666667
Take the square root of each side:
q = {-0.816496581, 0.816496581}
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