16t^2+28t+260=0

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Solution for 16t^2+28t+260=0 equation: 


Simplifying
16t2 + 28t + 260 = 0

Reorder the terms:
260 + 28t + 16t2 = 0

Solving
260 + 28t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(65 + 7t + 4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(65 + 7t + 4t2)' equal to zero and attempt to solve:

Simplifying
65 + 7t + 4t2 = 0

Solving
65 + 7t + 4t2 = 0

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

Divide each side by '4'.
16.25 + 1.75t + t2 = 0

Move the constant term to the right:

Add '-16.25' to each side of the equation.
16.25 + 1.75t + -16.25 + t2 = 0 + -16.25

Reorder the terms:
16.25 + -16.25 + 1.75t + t2 = 0 + -16.25

Combine like terms: 16.25 + -16.25 = 0.00
0.00 + 1.75t + t2 = 0 + -16.25
1.75t + t2 = 0 + -16.25

Combine like terms: 0 + -16.25 = -16.25
1.75t + t2 = -16.25

The t term is 1.75t.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75t + 0.765625 + t2 = -16.25 + 0.765625

Reorder the terms:
0.765625 + 1.75t + t2 = -16.25 + 0.765625

Combine like terms: -16.25 + 0.765625 = -15.484375
0.765625 + 1.75t + t2 = -15.484375

Factor a perfect square on the left side:
(t + 0.875)(t + 0.875) = -15.484375

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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