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Simplifying
5 = 0.2q2
Solving
5 = 0.2q2
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-0.2q2' to each side of the equation.
5 + -0.2q2 = 0.2q2 + -0.2q2
Combine like terms: 0.2q2 + -0.2q2 = 0.0
5 + -0.2q2 = 0.0
Add '-5' to each side of the equation.
5 + -5 + -0.2q2 = 0.0 + -5
Combine like terms: 5 + -5 = 0
0 + -0.2q2 = 0.0 + -5
-0.2q2 = 0.0 + -5
Combine like terms: 0.0 + -5 = -5
-0.2q2 = -5
Divide each side by '-0.2'.
q2 = 25
Simplifying
q2 = 25
Take the square root of each side:
q = {-5, 5}
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