25=-0.5(t^2)8.9+100

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Solution for 25=-0.5(t^2)8.9+100 equation:


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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