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Simplifying
500 = 30(25 + -1t2)
500 = (25 * 30 + -1t2 * 30)
500 = (750 + -30t2)
Solving
500 = 750 + -30t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '30t2' to each side of the equation.
500 + 30t2 = 750 + -30t2 + 30t2
Combine like terms: -30t2 + 30t2 = 0
500 + 30t2 = 750 + 0
500 + 30t2 = 750
Add '-500' to each side of the equation.
500 + -500 + 30t2 = 750 + -500
Combine like terms: 500 + -500 = 0
0 + 30t2 = 750 + -500
30t2 = 750 + -500
Combine like terms: 750 + -500 = 250
30t2 = 250
Divide each side by '30'.
t2 = 8.333333333
Simplifying
t2 = 8.333333333
Take the square root of each side:
t = {-2.886751346, 2.886751346}
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