16t^2+10t+474=0

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Solution for 16t^2+10t+474=0 equation: 


Simplifying
16t2 + 10t + 474 = 0

Reorder the terms:
474 + 10t + 16t2 = 0

Solving
474 + 10t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(237 + 5t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(237 + 5t + 8t2)' equal to zero and attempt to solve:

Simplifying
237 + 5t + 8t2 = 0

Solving
237 + 5t + 8t2 = 0

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

Divide each side by '8'.
29.625 + 0.625t + t2 = 0

Move the constant term to the right:

Add '-29.625' to each side of the equation.
29.625 + 0.625t + -29.625 + t2 = 0 + -29.625

Reorder the terms:
29.625 + -29.625 + 0.625t + t2 = 0 + -29.625

Combine like terms: 29.625 + -29.625 = 0.000
0.000 + 0.625t + t2 = 0 + -29.625
0.625t + t2 = 0 + -29.625

Combine like terms: 0 + -29.625 = -29.625
0.625t + t2 = -29.625

The t term is 0.625t.  Take half its coefficient (0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
0.625t + 0.09765625 + t2 = -29.625 + 0.09765625

Reorder the terms:
0.09765625 + 0.625t + t2 = -29.625 + 0.09765625

Combine like terms: -29.625 + 0.09765625 = -29.52734375
0.09765625 + 0.625t + t2 = -29.52734375

Factor a perfect square on the left side:
(t + 0.3125)(t + 0.3125) = -29.52734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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