8t^2+32t+265=0

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Solution for 8t^2+32t+265=0 equation:


Simplifying
8t2 + 32t + 265 = 0

Reorder the terms:
265 + 32t + 8t2 = 0

Solving
265 + 32t + 8t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
33.125 + 4t + t2 = 0

Move the constant term to the right:

Add '-33.125' to each side of the equation.
33.125 + 4t + -33.125 + t2 = 0 + -33.125

Reorder the terms:
33.125 + -33.125 + 4t + t2 = 0 + -33.125

Combine like terms: 33.125 + -33.125 = 0.000
0.000 + 4t + t2 = 0 + -33.125
4t + t2 = 0 + -33.125

Combine like terms: 0 + -33.125 = -33.125
4t + t2 = -33.125

The t term is 4t.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4t + 4 + t2 = -33.125 + 4

Reorder the terms:
4 + 4t + t2 = -33.125 + 4

Combine like terms: -33.125 + 4 = -29.125
4 + 4t + t2 = -29.125

Factor a perfect square on the left side:
(t + 2)(t + 2) = -29.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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