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Simplifying
3t2 + -7 + -20 = 0
Reorder the terms:
-7 + -20 + 3t2 = 0
Combine like terms: -7 + -20 = -27
-27 + 3t2 = 0
Solving
-27 + 3t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 3t2 = 0 + 27
Combine like terms: -27 + 27 = 0
0 + 3t2 = 0 + 27
3t2 = 0 + 27
Combine like terms: 0 + 27 = 27
3t2 = 27
Divide each side by '3'.
t2 = 9
Simplifying
t2 = 9
Take the square root of each side:
t = {-3, 3}
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