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Simplifying
-8t2 + 18 + 5 = 0
Reorder the terms:
18 + 5 + -8t2 = 0
Combine like terms: 18 + 5 = 23
23 + -8t2 = 0
Solving
23 + -8t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-23' to each side of the equation.
23 + -23 + -8t2 = 0 + -23
Combine like terms: 23 + -23 = 0
0 + -8t2 = 0 + -23
-8t2 = 0 + -23
Combine like terms: 0 + -23 = -23
-8t2 = -23
Divide each side by '-8'.
t2 = 2.875
Simplifying
t2 = 2.875
Take the square root of each side:
t = {-1.695582496, 1.695582496}
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