870=-16t^2+1900

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Solution for 870=-16t^2+1900 equation:


Simplifying
870 = -16t2 + 1900

Reorder the terms:
870 = 1900 + -16t2

Solving
870 = 1900 + -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.
870 + 16t2 = 1900 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
870 + 16t2 = 1900 + 0
870 + 16t2 = 1900

Add '-870' to each side of the equation.
870 + -870 + 16t2 = 1900 + -870

Combine like terms: 870 + -870 = 0
0 + 16t2 = 1900 + -870
16t2 = 1900 + -870

Combine like terms: 1900 + -870 = 1030
16t2 = 1030

Divide each side by '16'.
t2 = 64.375

Simplifying
t2 = 64.375

Take the square root of each side:
t = {-8.023403268, 8.023403268}

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