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Simplifying
152 = 16t2 + 96 + 12
Reorder the terms:
152 = 96 + 12 + 16t2
Combine like terms: 96 + 12 = 108
152 = 108 + 16t2
Solving
152 = 108 + 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.
152 + -16t2 = 108 + 16t2 + -16t2
Combine like terms: 16t2 + -16t2 = 0
152 + -16t2 = 108 + 0
152 + -16t2 = 108
Add '-152' to each side of the equation.
152 + -152 + -16t2 = 108 + -152
Combine like terms: 152 + -152 = 0
0 + -16t2 = 108 + -152
-16t2 = 108 + -152
Combine like terms: 108 + -152 = -44
-16t2 = -44
Divide each side by '-16'.
t2 = 2.75
Simplifying
t2 = 2.75
Take the square root of each side:
t = {-1.658312395, 1.658312395}
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