10=65.5+.5*-9.8t^2

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Solution for 10=65.5+.5*-9.8t^2 equation: 


Simplifying
10 = 65.5 + 0.5 * -9.8t2

Multiply 0.5 * -9.8
10 = 65.5 + -4.9t2

Solving
10 = 65.5 + -4.9t2

Solving for variable 't'.

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

Add '4.9t2' to each side of the equation.
10 + 4.9t2 = 65.5 + -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
10 + 4.9t2 = 65.5 + 0.0
10 + 4.9t2 = 65.5

Add '-10' to each side of the equation.
10 + -10 + 4.9t2 = 65.5 + -10

Combine like terms: 10 + -10 = 0
0 + 4.9t2 = 65.5 + -10
4.9t2 = 65.5 + -10

Combine like terms: 65.5 + -10 = 55.5
4.9t2 = 55.5

Divide each side by '4.9'.
t2 = 11.32653061

Simplifying
t2 = 11.32653061

Take the square root of each side:
t = {-3.365491139, 3.365491139}

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