(8t^2-10t+2)+(8t+13)=

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Solution for (8t^2-10t+2)+(8t+13)= equation:


Simplifying
(8t2 + -10t + 2) + (8t + 13) = 0

Reorder the terms:
(2 + -10t + 8t2) + (8t + 13) = 0

Remove parenthesis around (2 + -10t + 8t2)
2 + -10t + 8t2 + (8t + 13) = 0

Reorder the terms:
2 + -10t + 8t2 + (13 + 8t) = 0

Remove parenthesis around (13 + 8t)
2 + -10t + 8t2 + 13 + 8t = 0

Reorder the terms:
2 + 13 + -10t + 8t + 8t2 = 0

Combine like terms: 2 + 13 = 15
15 + -10t + 8t + 8t2 = 0

Combine like terms: -10t + 8t = -2t
15 + -2t + 8t2 = 0

Solving
15 + -2t + 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'.
1.875 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + -0.25t + -1.875 + t2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + -0.25t + t2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + -0.25t + t2 = 0 + -1.875
-0.25t + t2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
-0.25t + t2 = -1.875

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = -1.875 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -1.875 + 0.015625

Combine like terms: -1.875 + 0.015625 = -1.859375
0.015625 + -0.25t + t2 = -1.859375

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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