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Simplifying
(8t + -7)(8t + 7) = 0
Reorder the terms:
(-7 + 8t)(8t + 7) = 0
Reorder the terms:
(-7 + 8t)(7 + 8t) = 0
Multiply (-7 + 8t) * (7 + 8t)
(-7(7 + 8t) + 8t * (7 + 8t)) = 0
((7 * -7 + 8t * -7) + 8t * (7 + 8t)) = 0
((-49 + -56t) + 8t * (7 + 8t)) = 0
(-49 + -56t + (7 * 8t + 8t * 8t)) = 0
(-49 + -56t + (56t + 64t2)) = 0
Combine like terms: -56t + 56t = 0
(-49 + 0 + 64t2) = 0
(-49 + 64t2) = 0
Solving
-49 + 64t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 64t2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 64t2 = 0 + 49
64t2 = 0 + 49
Combine like terms: 0 + 49 = 49
64t2 = 49
Divide each side by '64'.
t2 = 0.765625
Simplifying
t2 = 0.765625
Take the square root of each side:
t = {-0.875, 0.875}
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