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Simplifying
20 = -5t2 + 30
Reorder the terms:
20 = 30 + -5t2
Solving
20 = 30 + -5t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '5t2' to each side of the equation.
20 + 5t2 = 30 + -5t2 + 5t2
Combine like terms: -5t2 + 5t2 = 0
20 + 5t2 = 30 + 0
20 + 5t2 = 30
Add '-20' to each side of the equation.
20 + -20 + 5t2 = 30 + -20
Combine like terms: 20 + -20 = 0
0 + 5t2 = 30 + -20
5t2 = 30 + -20
Combine like terms: 30 + -20 = 10
5t2 = 10
Divide each side by '5'.
t2 = 2
Simplifying
t2 = 2
Take the square root of each side:
t = {-1.414213562, 1.414213562}
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