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Simplifying
7242 = 30.5t2 + 4192
Reorder the terms:
7242 = 4192 + 30.5t2
Solving
7242 = 4192 + 30.5t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-30.5t2' to each side of the equation.
7242 + -30.5t2 = 4192 + 30.5t2 + -30.5t2
Combine like terms: 30.5t2 + -30.5t2 = 0.0
7242 + -30.5t2 = 4192 + 0.0
7242 + -30.5t2 = 4192
Add '-7242' to each side of the equation.
7242 + -7242 + -30.5t2 = 4192 + -7242
Combine like terms: 7242 + -7242 = 0
0 + -30.5t2 = 4192 + -7242
-30.5t2 = 4192 + -7242
Combine like terms: 4192 + -7242 = -3050
-30.5t2 = -3050
Divide each side by '-30.5'.
t2 = 100
Simplifying
t2 = 100
Take the square root of each side:
t = {-10, 10}
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