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Simplifying
40 = -16t2 + 64 + 12
Reorder the terms:
40 = 64 + 12 + -16t2
Combine like terms: 64 + 12 = 76
40 = 76 + -16t2
Solving
40 = 76 + -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.
40 + 16t2 = 76 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
40 + 16t2 = 76 + 0
40 + 16t2 = 76
Add '-40' to each side of the equation.
40 + -40 + 16t2 = 76 + -40
Combine like terms: 40 + -40 = 0
0 + 16t2 = 76 + -40
16t2 = 76 + -40
Combine like terms: 76 + -40 = 36
16t2 = 36
Divide each side by '16'.
t2 = 2.25
Simplifying
t2 = 2.25
Take the square root of each side:
t = {-1.5, 1.5}
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