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Simplifying
(15 + 4q)(15 + -4q) = 0
Multiply (15 + 4q) * (15 + -4q)
(15(15 + -4q) + 4q * (15 + -4q)) = 0
((15 * 15 + -4q * 15) + 4q * (15 + -4q)) = 0
((225 + -60q) + 4q * (15 + -4q)) = 0
(225 + -60q + (15 * 4q + -4q * 4q)) = 0
(225 + -60q + (60q + -16q2)) = 0
Combine like terms: -60q + 60q = 0
(225 + 0 + -16q2) = 0
(225 + -16q2) = 0
Solving
225 + -16q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-225' to each side of the equation.
225 + -225 + -16q2 = 0 + -225
Combine like terms: 225 + -225 = 0
0 + -16q2 = 0 + -225
-16q2 = 0 + -225
Combine like terms: 0 + -225 = -225
-16q2 = -225
Divide each side by '-16'.
q2 = 14.0625
Simplifying
q2 = 14.0625
Take the square root of each side:
q = {-3.75, 3.75}
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