31=200-16T^2

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Solution for 31=200-16T^2 equation: 


Simplifying
31 = 200 + -16T2

Solving
31 = 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.
31 + 16T2 = 200 + -16T2 + 16T2

Combine like terms: -16T2 + 16T2 = 0
31 + 16T2 = 200 + 0
31 + 16T2 = 200

Add '-31' to each side of the equation.
31 + -31 + 16T2 = 200 + -31

Combine like terms: 31 + -31 = 0
0 + 16T2 = 200 + -31
16T2 = 200 + -31

Combine like terms: 200 + -31 = 169
16T2 = 169

Divide each side by '16'.
T2 = 10.5625

Simplifying
T2 = 10.5625

Take the square root of each side:
T = {-3.25, 3.25}

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