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Simplifying
10 = -0.5q2 + 30
Reorder the terms:
10 = 30 + -0.5q2
Solving
10 = 30 + -0.5q2
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '0.5q2' to each side of the equation.
10 + 0.5q2 = 30 + -0.5q2 + 0.5q2
Combine like terms: -0.5q2 + 0.5q2 = 0.0
10 + 0.5q2 = 30 + 0.0
10 + 0.5q2 = 30
Add '-10' to each side of the equation.
10 + -10 + 0.5q2 = 30 + -10
Combine like terms: 10 + -10 = 0
0 + 0.5q2 = 30 + -10
0.5q2 = 30 + -10
Combine like terms: 30 + -10 = 20
0.5q2 = 20
Divide each side by '0.5'.
q2 = 40
Simplifying
q2 = 40
Take the square root of each side:
q = {-6.32455532, 6.32455532}
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