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Simplifying
8q2 + -10 + 3 = 0
Reorder the terms:
-10 + 3 + 8q2 = 0
Combine like terms: -10 + 3 = -7
-7 + 8q2 = 0
Solving
-7 + 8q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 8q2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 8q2 = 0 + 7
8q2 = 0 + 7
Combine like terms: 0 + 7 = 7
8q2 = 7
Divide each side by '8'.
q2 = 0.875
Simplifying
q2 = 0.875
Take the square root of each side:
q = {-0.935414347, 0.935414347}
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