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Simplifying
20 = -49t2 + 147
Reorder the terms:
20 = 147 + -49t2
Solving
20 = 147 + -49t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '49t2' to each side of the equation.
20 + 49t2 = 147 + -49t2 + 49t2
Combine like terms: -49t2 + 49t2 = 0
20 + 49t2 = 147 + 0
20 + 49t2 = 147
Add '-20' to each side of the equation.
20 + -20 + 49t2 = 147 + -20
Combine like terms: 20 + -20 = 0
0 + 49t2 = 147 + -20
49t2 = 147 + -20
Combine like terms: 147 + -20 = 127
49t2 = 127
Divide each side by '49'.
t2 = 2.591836735
Simplifying
t2 = 2.591836735
Take the square root of each side:
t = {-1.609918239, 1.609918239}
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