50=100-10t^2

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Solution for 50=100-10t^2 equation:


Simplifying
50 = 100 + -10t2

Solving
50 = 100 + -10t2

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '10t2' to each side of the equation.
50 + 10t2 = 100 + -10t2 + 10t2

Combine like terms: -10t2 + 10t2 = 0
50 + 10t2 = 100 + 0
50 + 10t2 = 100

Add '-50' to each side of the equation.
50 + -50 + 10t2 = 100 + -50

Combine like terms: 50 + -50 = 0
0 + 10t2 = 100 + -50
10t2 = 100 + -50

Combine like terms: 100 + -50 = 50
10t2 = 50

Divide each side by '10'.
t2 = 5

Simplifying
t2 = 5

Take the square root of each side:
t = {-2.236067978, 2.236067978}

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