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Simplifying
98 = 16t2 + 32
Reorder the terms:
98 = 32 + 16t2
Solving
98 = 32 + 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.
98 + -16t2 = 32 + 16t2 + -16t2
Combine like terms: 16t2 + -16t2 = 0
98 + -16t2 = 32 + 0
98 + -16t2 = 32
Add '-98' to each side of the equation.
98 + -98 + -16t2 = 32 + -98
Combine like terms: 98 + -98 = 0
0 + -16t2 = 32 + -98
-16t2 = 32 + -98
Combine like terms: 32 + -98 = -66
-16t2 = -66
Divide each side by '-16'.
t2 = 4.125
Simplifying
t2 = 4.125
Take the square root of each side:
t = {-2.031009601, 2.031009601}
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