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Simplifying
3q2 + -7 = 32
Reorder the terms:
-7 + 3q2 = 32
Solving
-7 + 3q2 = 32
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 3q2 = 32 + 7
Combine like terms: -7 + 7 = 0
0 + 3q2 = 32 + 7
3q2 = 32 + 7
Combine like terms: 32 + 7 = 39
3q2 = 39
Divide each side by '3'.
q2 = 13
Simplifying
q2 = 13
Take the square root of each side:
q = {-3.605551275, 3.605551275}
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