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Simplifying
128 = -16t2 + 32 + 128
Reorder the terms:
128 = 32 + 128 + -16t2
Combine like terms: 32 + 128 = 160
128 = 160 + -16t2
Solving
128 = 160 + -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 = 160 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
128 + 16t2 = 160 + 0
128 + 16t2 = 160
Add '-128' to each side of the equation.
128 + -128 + 16t2 = 160 + -128
Combine like terms: 128 + -128 = 0
0 + 16t2 = 160 + -128
16t2 = 160 + -128
Combine like terms: 160 + -128 = 32
16t2 = 32
Divide each side by '16'.
t2 = 2
Simplifying
t2 = 2
Take the square root of each side:
t = {-1.414213562, 1.414213562}
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