50=140-5t^2

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Solution for 50=140-5t^2 equation:


Simplifying
50 = 140 + -5t2

Solving
50 = 140 + -5t2

Solving for variable 't'.

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

Add '5t2' to each side of the equation.
50 + 5t2 = 140 + -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
50 + 5t2 = 140 + 0
50 + 5t2 = 140

Add '-50' to each side of the equation.
50 + -50 + 5t2 = 140 + -50

Combine like terms: 50 + -50 = 0
0 + 5t2 = 140 + -50
5t2 = 140 + -50

Combine like terms: 140 + -50 = 90
5t2 = 90

Divide each side by '5'.
t2 = 18

Simplifying
t2 = 18

Take the square root of each side:
t = {-4.242640687, 4.242640687}

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