20t^2-45t+1200=0

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Solution for 20t^2-45t+1200=0 equation: 


Simplifying
20t2 + -45t + 1200 = 0

Reorder the terms:
1200 + -45t + 20t2 = 0

Solving
1200 + -45t + 20t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(240 + -9t + 4t2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(240 + -9t + 4t2)' equal to zero and attempt to solve:

Simplifying
240 + -9t + 4t2 = 0

Solving
240 + -9t + 4t2 = 0

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

Divide each side by '4'.
60 + -2.25t + t2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -2.25t + -60 + t2 = 0 + -60

Reorder the terms:
60 + -60 + -2.25t + t2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -2.25t + t2 = 0 + -60
-2.25t + t2 = 0 + -60

Combine like terms: 0 + -60 = -60
-2.25t + t2 = -60

The t term is -2.25t.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25t + 1.265625 + t2 = -60 + 1.265625

Reorder the terms:
1.265625 + -2.25t + t2 = -60 + 1.265625

Combine like terms: -60 + 1.265625 = -58.734375
1.265625 + -2.25t + t2 = -58.734375

Factor a perfect square on the left side:
(t + -1.125)(t + -1.125) = -58.734375

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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