-16t^2+112t-200=0

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Solution for -16t^2+112t-200=0 equation: 


Simplifying
-16t2 + 112t + -200 = 0

Reorder the terms:
-200 + 112t + -16t2 = 0

Solving
-200 + 112t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-25 + 14t + -2t2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-25 + 14t + -2t2)' equal to zero and attempt to solve:

Simplifying
-25 + 14t + -2t2 = 0

Solving
-25 + 14t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
12.5 + -7t + t2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -7t + -12.5 + t2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -7t + t2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -7t + t2 = 0 + -12.5
-7t + t2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-7t + t2 = -12.5

The t term is -7t.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7t + 12.25 + t2 = -12.5 + 12.25

Reorder the terms:
12.25 + -7t + t2 = -12.5 + 12.25

Combine like terms: -12.5 + 12.25 = -0.25
12.25 + -7t + t2 = -0.25

Factor a perfect square on the left side:
(t + -3.5)(t + -3.5) = -0.25

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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