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Simplifying
25 = -0.5(t2) * 8.9 + 100
Reorder the terms for easier multiplication:
25 = -0.5 * 8.9t2 + 100
Multiply -0.5 * 8.9
25 = -4.45t2 + 100
Reorder the terms:
25 = 100 + -4.45t2
Solving
25 = 100 + -4.45t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '4.45t2' to each side of the equation.
25 + 4.45t2 = 100 + -4.45t2 + 4.45t2
Combine like terms: -4.45t2 + 4.45t2 = 0.00
25 + 4.45t2 = 100 + 0.00
25 + 4.45t2 = 100
Add '-25' to each side of the equation.
25 + -25 + 4.45t2 = 100 + -25
Combine like terms: 25 + -25 = 0
0 + 4.45t2 = 100 + -25
4.45t2 = 100 + -25
Combine like terms: 100 + -25 = 75
4.45t2 = 75
Divide each side by '4.45'.
t2 = 16.85393258
Simplifying
t2 = 16.85393258
Take the square root of each side:
t = {-4.105354136, 4.105354136}
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