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Simplifying
8t2 + -77 + 45 = 0
Reorder the terms:
-77 + 45 + 8t2 = 0
Combine like terms: -77 + 45 = -32
-32 + 8t2 = 0
Solving
-32 + 8t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 8t2 = 0 + 32
Combine like terms: -32 + 32 = 0
0 + 8t2 = 0 + 32
8t2 = 0 + 32
Combine like terms: 0 + 32 = 32
8t2 = 32
Divide each side by '8'.
t2 = 4
Simplifying
t2 = 4
Take the square root of each side:
t = {-2, 2}
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