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Simplifying
55 = 0.006q2 + 30
Reorder the terms:
55 = 30 + 0.006q2
Solving
55 = 30 + 0.006q2
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-0.006q2' to each side of the equation.
55 + -0.006q2 = 30 + 0.006q2 + -0.006q2
Combine like terms: 0.006q2 + -0.006q2 = 0.000
55 + -0.006q2 = 30 + 0.000
55 + -0.006q2 = 30
Add '-55' to each side of the equation.
55 + -55 + -0.006q2 = 30 + -55
Combine like terms: 55 + -55 = 0
0 + -0.006q2 = 30 + -55
-0.006q2 = 30 + -55
Combine like terms: 30 + -55 = -25
-0.006q2 = -25
Divide each side by '-0.006'.
q2 = 4166.666667
Simplifying
q2 = 4166.666667
Take the square root of each side:
q = {-64.549722439, 64.549722439}
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