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Simplifying
68 = -16t(16t) + 64 + 8
Remove parenthesis around (16t)
68 = -16t * 16t + 64 + 8
Reorder the terms for easier multiplication:
68 = -16 * 16t * t + 64 + 8
Multiply -16 * 16
68 = -256t * t + 64 + 8
Multiply t * t
68 = -256t2 + 64 + 8
Reorder the terms:
68 = 64 + 8 + -256t2
Combine like terms: 64 + 8 = 72
68 = 72 + -256t2
Solving
68 = 72 + -256t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '256t2' to each side of the equation.
68 + 256t2 = 72 + -256t2 + 256t2
Combine like terms: -256t2 + 256t2 = 0
68 + 256t2 = 72 + 0
68 + 256t2 = 72
Add '-68' to each side of the equation.
68 + -68 + 256t2 = 72 + -68
Combine like terms: 68 + -68 = 0
0 + 256t2 = 72 + -68
256t2 = 72 + -68
Combine like terms: 72 + -68 = 4
256t2 = 4
Divide each side by '256'.
t2 = 0.015625
Simplifying
t2 = 0.015625
Take the square root of each side:
t = {-0.125, 0.125}
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