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Simplifying
4 = -16t2 + 40 + 10
Reorder the terms:
4 = 40 + 10 + -16t2
Combine like terms: 40 + 10 = 50
4 = 50 + -16t2
Solving
4 = 50 + -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.
4 + 16t2 = 50 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
4 + 16t2 = 50 + 0
4 + 16t2 = 50
Add '-4' to each side of the equation.
4 + -4 + 16t2 = 50 + -4
Combine like terms: 4 + -4 = 0
0 + 16t2 = 50 + -4
16t2 = 50 + -4
Combine like terms: 50 + -4 = 46
16t2 = 46
Divide each side by '16'.
t2 = 2.875
Simplifying
t2 = 2.875
Take the square root of each side:
t = {-1.695582496, 1.695582496}
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