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Simplifying
4q2 + -19 + -5 = 0
Reorder the terms:
-19 + -5 + 4q2 = 0
Combine like terms: -19 + -5 = -24
-24 + 4q2 = 0
Solving
-24 + 4q2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 4q2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 4q2 = 0 + 24
4q2 = 0 + 24
Combine like terms: 0 + 24 = 24
4q2 = 24
Divide each side by '4'.
q2 = 6
Simplifying
q2 = 6
Take the square root of each side:
q = {-2.449489743, 2.449489743}
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