10=-5t^2+20

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Solution for 10=-5t^2+20 equation:


Simplifying
10 = -5t2 + 20

Reorder the terms:
10 = 20 + -5t2

Solving
10 = 20 + -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.
10 + 5t2 = 20 + -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
10 + 5t2 = 20 + 0
10 + 5t2 = 20

Add '-10' to each side of the equation.
10 + -10 + 5t2 = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 5t2 = 20 + -10
5t2 = 20 + -10

Combine like terms: 20 + -10 = 10
5t2 = 10

Divide each side by '5'.
t2 = 2

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}

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