252=-16t^2+14+288

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Solution for 252=-16t^2+14+288 equation:


Simplifying
252 = -16t2 + 14 + 288

Reorder the terms:
252 = 14 + 288 + -16t2

Combine like terms: 14 + 288 = 302
252 = 302 + -16t2

Solving
252 = 302 + -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.
252 + 16t2 = 302 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
252 + 16t2 = 302 + 0
252 + 16t2 = 302

Add '-252' to each side of the equation.
252 + -252 + 16t2 = 302 + -252

Combine like terms: 252 + -252 = 0
0 + 16t2 = 302 + -252
16t2 = 302 + -252

Combine like terms: 302 + -252 = 50
16t2 = 50

Divide each side by '16'.
t2 = 3.125

Simplifying
t2 = 3.125

Take the square root of each side:
t = {-1.767766953, 1.767766953}

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