268=-16t^2+128t

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Solution for 268=-16t^2+128t equation: 


Simplifying
268 = -16t2 + 128t

Reorder the terms:
268 = 128t + -16t2

Solving
268 = 128t + -16t2

Solving for variable 't'.

Reorder the terms:
268 + -128t + 16t2 = 128t + -128t + -16t2 + 16t2

Combine like terms: 128t + -128t = 0
268 + -128t + 16t2 = 0 + -16t2 + 16t2
268 + -128t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
268 + -128t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(67 + -32t + 4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(67 + -32t + 4t2)' equal to zero and attempt to solve:

Simplifying
67 + -32t + 4t2 = 0

Solving
67 + -32t + 4t2 = 0

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

Divide each side by '4'.
16.75 + -8t + t2 = 0

Move the constant term to the right:

Add '-16.75' to each side of the equation.
16.75 + -8t + -16.75 + t2 = 0 + -16.75

Reorder the terms:
16.75 + -16.75 + -8t + t2 = 0 + -16.75

Combine like terms: 16.75 + -16.75 = 0.00
0.00 + -8t + t2 = 0 + -16.75
-8t + t2 = 0 + -16.75

Combine like terms: 0 + -16.75 = -16.75
-8t + t2 = -16.75

The t term is -8t.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8t + 16 + t2 = -16.75 + 16

Reorder the terms:
16 + -8t + t2 = -16.75 + 16

Combine like terms: -16.75 + 16 = -0.75
16 + -8t + t2 = -0.75

Factor a perfect square on the left side:
(t + -4)(t + -4) = -0.75

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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