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Simplifying
0 = 12 + q(5 + -1q) + -5q
0 = 12 + (5 * q + -1q * q) + -5q
0 = 12 + (5q + -1q2) + -5q
Reorder the terms:
0 = 12 + 5q + -5q + -1q2
Combine like terms: 5q + -5q = 0
0 = 12 + 0 + -1q2
0 = 12 + -1q2
Solving
0 = 12 + -1q2
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add 'q2' to each side of the equation.
0 + q2 = 12 + -1q2 + q2
Remove the zero:
q2 = 12 + -1q2 + q2
Combine like terms: -1q2 + q2 = 0
q2 = 12 + 0
q2 = 12
Simplifying
q2 = 12
Take the square root of each side:
q = {-3.464101615, 3.464101615}
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