-16t^2+60t=100

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Solution for -16t^2+60t=100 equation: 


Simplifying
-16t2 + 60t = 100

Reorder the terms:
60t + -16t2 = 100

Solving
60t + -16t2 = 100

Solving for variable 't'.

Reorder the terms:
-100 + 60t + -16t2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 60t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-25 + 15t + -4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-25 + 15t + -4t2)' equal to zero and attempt to solve:

Simplifying
-25 + 15t + -4t2 = 0

Solving
-25 + 15t + -4t2 = 0

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

Divide each side by '-4'.
6.25 + -3.75t + t2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -3.75t + -6.25 + t2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -3.75t + t2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -3.75t + t2 = 0 + -6.25
-3.75t + t2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-3.75t + t2 = -6.25

The t term is -3.75t.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75t + 3.515625 + t2 = -6.25 + 3.515625

Reorder the terms:
3.515625 + -3.75t + t2 = -6.25 + 3.515625

Combine like terms: -6.25 + 3.515625 = -2.734375
3.515625 + -3.75t + t2 = -2.734375

Factor a perfect square on the left side:
(t + -1.875)(t + -1.875) = -2.734375

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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