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Simplifying
128 = -16t2 + 64 + 80
Reorder the terms:
128 = 64 + 80 + -16t2
Combine like terms: 64 + 80 = 144
128 = 144 + -16t2
Solving
128 = 144 + -16t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '16t2' to each side of the equation.
128 + 16t2 = 144 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
128 + 16t2 = 144 + 0
128 + 16t2 = 144
Add '-128' to each side of the equation.
128 + -128 + 16t2 = 144 + -128
Combine like terms: 128 + -128 = 0
0 + 16t2 = 144 + -128
16t2 = 144 + -128
Combine like terms: 144 + -128 = 16
16t2 = 16
Divide each side by '16'.
t2 = 1
Simplifying
t2 = 1
Take the square root of each side:
t = {-1, 1}
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