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Simplifying
36 = -4t2 + 75
Reorder the terms:
36 = 75 + -4t2
Solving
36 = 75 + -4t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '4t2' to each side of the equation.
36 + 4t2 = 75 + -4t2 + 4t2
Combine like terms: -4t2 + 4t2 = 0
36 + 4t2 = 75 + 0
36 + 4t2 = 75
Add '-36' to each side of the equation.
36 + -36 + 4t2 = 75 + -36
Combine like terms: 36 + -36 = 0
0 + 4t2 = 75 + -36
4t2 = 75 + -36
Combine like terms: 75 + -36 = 39
4t2 = 39
Divide each side by '4'.
t2 = 9.75
Simplifying
t2 = 9.75
Take the square root of each side:
t = {-3.122498999, 3.122498999}
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