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Simplifying
5q2 + -7 = 0
Reorder the terms:
-7 + 5q2 = 0
Solving
-7 + 5q2 = 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 + 5q2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 5q2 = 0 + 7
5q2 = 0 + 7
Combine like terms: 0 + 7 = 7
5q2 = 7
Divide each side by '5'.
q2 = 1.4
Simplifying
q2 = 1.4
Take the square root of each side:
q = {-1.183215957, 1.183215957}
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