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Simplifying
10 = -16t2 + 150 + 50
Reorder the terms:
10 = 150 + 50 + -16t2
Combine like terms: 150 + 50 = 200
10 = 200 + -16t2
Solving
10 = 200 + -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.
10 + 16t2 = 200 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
10 + 16t2 = 200 + 0
10 + 16t2 = 200
Add '-10' to each side of the equation.
10 + -10 + 16t2 = 200 + -10
Combine like terms: 10 + -10 = 0
0 + 16t2 = 200 + -10
16t2 = 200 + -10
Combine like terms: 200 + -10 = 190
16t2 = 190
Divide each side by '16'.
t2 = 11.875
Simplifying
t2 = 11.875
Take the square root of each side:
t = {-3.446012188, 3.446012188}
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