10=10(t)+0.5(9.8)(t)

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Solution for 10=10(t)+0.5(9.8)(t) equation: 


Simplifying
10 = 10(t) + 0.5(9.8)(t)

Multiply 0.5 * 9.8
10 = 10t + 4.9t

Combine like terms: 10t + 4.9t = 14.9t
10 = 14.9t

Solving
10 = 14.9t

Solving for variable 't'.

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

Add '-14.9t' to each side of the equation.
10 + -14.9t = 14.9t + -14.9t

Combine like terms: 14.9t + -14.9t = 0.0
10 + -14.9t = 0.0

Add '-10' to each side of the equation.
10 + -10 + -14.9t = 0.0 + -10

Combine like terms: 10 + -10 = 0
0 + -14.9t = 0.0 + -10
-14.9t = 0.0 + -10

Combine like terms: 0.0 + -10 = -10
-14.9t = -10

Divide each side by '-14.9'.
t = 0.6711409396

Simplifying
t = 0.6711409396

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