10=38-16t^2

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Solution for 10=38-16t^2 equation:


Simplifying
10 = 38 + -16t2

Solving
10 = 38 + -16t2

Solving for variable 't'.

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

Add '16t2' to each side of the equation.
10 + 16t2 = 38 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
10 + 16t2 = 38 + 0
10 + 16t2 = 38

Add '-10' to each side of the equation.
10 + -10 + 16t2 = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 16t2 = 38 + -10
16t2 = 38 + -10

Combine like terms: 38 + -10 = 28
16t2 = 28

Divide each side by '16'.
t2 = 1.75

Simplifying
t2 = 1.75

Take the square root of each side:
t = {-1.322875656, 1.322875656}

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