38=5+80+-16t^2

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Solution for 38=5+80+-16t^2 equation: 


Simplifying
38 = 5 + 80 + -16t2

Combine like terms: 5 + 80 = 85
38 = 85 + -16t2

Solving
38 = 85 + -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.
38 + 16t2 = 85 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
38 + 16t2 = 85 + 0
38 + 16t2 = 85

Add '-38' to each side of the equation.
38 + -38 + 16t2 = 85 + -38

Combine like terms: 38 + -38 = 0
0 + 16t2 = 85 + -38
16t2 = 85 + -38

Combine like terms: 85 + -38 = 47
16t2 = 47

Divide each side by '16'.
t2 = 2.9375

Simplifying
t2 = 2.9375

Take the square root of each side:
t = {-1.71391365, 1.71391365}

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