400=-16t^2+128t

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Solution for 400=-16t^2+128t equation: 


Simplifying
400 = -16t2 + 128t

Reorder the terms:
400 = 128t + -16t2

Solving
400 = 128t + -16t2

Solving for variable 't'.

Reorder the terms:
400 + -128t + 16t2 = 128t + -128t + -16t2 + 16t2

Combine like terms: 128t + -128t = 0
400 + -128t + 16t2 = 0 + -16t2 + 16t2
400 + -128t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
400 + -128t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(25 + -8t + t2) = 0

Ignore the factor 16.

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

Simplifying
25 + -8t + t2 = 0

Solving
25 + -8t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -8t + -25 + t2 = 0 + -25

Reorder the terms:
25 + -25 + -8t + t2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -8t + t2 = 0 + -25
-8t + t2 = 0 + -25

Combine like terms: 0 + -25 = -25
-8t + t2 = -25

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 = -25 + 16

Reorder the terms:
16 + -8t + t2 = -25 + 16

Combine like terms: -25 + 16 = -9
16 + -8t + t2 = -9

Factor a perfect square on the left side:
(t + -4)(t + -4) = -9

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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