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Simplifying
3q2 + 2 = 47
Reorder the terms:
2 + 3q2 = 47
Solving
2 + 3q2 = 47
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 3q2 = 47 + -2
Combine like terms: 2 + -2 = 0
0 + 3q2 = 47 + -2
3q2 = 47 + -2
Combine like terms: 47 + -2 = 45
3q2 = 45
Divide each side by '3'.
q2 = 15
Simplifying
q2 = 15
Take the square root of each side:
q = {-3.872983346, 3.872983346}
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