16t^2-50t+112=0

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Solution for 16t^2-50t+112=0 equation: 


Simplifying
16t2 + -50t + 112 = 0

Reorder the terms:
112 + -50t + 16t2 = 0

Solving
112 + -50t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -25t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(56 + -25t + 8t2)' equal to zero and attempt to solve:

Simplifying
56 + -25t + 8t2 = 0

Solving
56 + -25t + 8t2 = 0

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

Divide each side by '8'.
7 + -3.125t + t2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3.125t + -7 + t2 = 0 + -7

Reorder the terms:
7 + -7 + -3.125t + t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3.125t + t2 = 0 + -7
-3.125t + t2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3.125t + t2 = -7

The t term is -3.125t.  Take half its coefficient (-1.5625).
Square it (2.44140625) and add it to both sides.

Add '2.44140625' to each side of the equation.
-3.125t + 2.44140625 + t2 = -7 + 2.44140625

Reorder the terms:
2.44140625 + -3.125t + t2 = -7 + 2.44140625

Combine like terms: -7 + 2.44140625 = -4.55859375
2.44140625 + -3.125t + t2 = -4.55859375

Factor a perfect square on the left side:
(t + -1.5625)(t + -1.5625) = -4.55859375

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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