32=-4.9t^2+14.5+25

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Solution for 32=-4.9t^2+14.5+25 equation: 


Simplifying
32 = -4.9t2 + 14.5 + 25

Reorder the terms:
32 = 14.5 + 25 + -4.9t2

Combine like terms: 14.5 + 25 = 39.5
32 = 39.5 + -4.9t2

Solving
32 = 39.5 + -4.9t2

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '4.9t2' to each side of the equation.
32 + 4.9t2 = 39.5 + -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
32 + 4.9t2 = 39.5 + 0.0
32 + 4.9t2 = 39.5

Add '-32' to each side of the equation.
32 + -32 + 4.9t2 = 39.5 + -32

Combine like terms: 32 + -32 = 0
0 + 4.9t2 = 39.5 + -32
4.9t2 = 39.5 + -32

Combine like terms: 39.5 + -32 = 7.5
4.9t2 = 7.5

Divide each side by '4.9'.
t2 = 1.530612245

Simplifying
t2 = 1.530612245

Take the square root of each side:
t = {-1.237179148, 1.237179148}

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