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Simplifying
(7q + 3)(7q + -3) = 0
Reorder the terms:
(3 + 7q)(7q + -3) = 0
Reorder the terms:
(3 + 7q)(-3 + 7q) = 0
Multiply (3 + 7q) * (-3 + 7q)
(3(-3 + 7q) + 7q * (-3 + 7q)) = 0
((-3 * 3 + 7q * 3) + 7q * (-3 + 7q)) = 0
((-9 + 21q) + 7q * (-3 + 7q)) = 0
(-9 + 21q + (-3 * 7q + 7q * 7q)) = 0
(-9 + 21q + (-21q + 49q2)) = 0
Combine like terms: 21q + -21q = 0
(-9 + 0 + 49q2) = 0
(-9 + 49q2) = 0
Solving
-9 + 49q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 49q2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 49q2 = 0 + 9
49q2 = 0 + 9
Combine like terms: 0 + 9 = 9
49q2 = 9
Divide each side by '49'.
q2 = 0.1836734694
Simplifying
q2 = 0.1836734694
Take the square root of each side:
q = {-0.428571429, 0.428571429}
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