(-5t^2)+12t-75=0

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Solution for (-5t^2)+12t-75=0 equation:


Simplifying
(-5t2) + 12t + -75 = 0

Reorder the terms:
-75 + 12t + (-5t2) = 0

Solving
-75 + 12t + (-5t2) = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
15 + -2.4t + t2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -2.4t + -15 + t2 = 0 + -15

Reorder the terms:
15 + -15 + -2.4t + t2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2.4t + t2 = 0 + -15
-2.4t + t2 = 0 + -15

Combine like terms: 0 + -15 = -15
-2.4t + t2 = -15

The t term is -2.4t.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4t + 1.44 + t2 = -15 + 1.44

Reorder the terms:
1.44 + -2.4t + t2 = -15 + 1.44

Combine like terms: -15 + 1.44 = -13.56
1.44 + -2.4t + t2 = -13.56

Factor a perfect square on the left side:
((t) + -1.2)((t) + -1.2) = -13.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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