0.675*t^2-2*t=-2

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Solution for 0.675*t^2-2*t=-2 equation: 


Simplifying
0.675t2 + -2t = -2

Reorder the terms:
-2t + 0.675t2 = -2

Solving
-2t + 0.675t2 = -2

Solving for variable 't'.

Reorder the terms:
2 + -2t + 0.675t2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -2t + 0.675t2 = 0

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

Divide each side by '0.675'.
2.962962963 + -2.962962963t + t2 = 0

Move the constant term to the right:

Add '-2.962962963' to each side of the equation.
2.962962963 + -2.962962963t + -2.962962963 + t2 = 0 + -2.962962963

Reorder the terms:
2.962962963 + -2.962962963 + -2.962962963t + t2 = 0 + -2.962962963

Combine like terms: 2.962962963 + -2.962962963 = 0.000000000
0.000000000 + -2.962962963t + t2 = 0 + -2.962962963
-2.962962963t + t2 = 0 + -2.962962963

Combine like terms: 0 + -2.962962963 = -2.962962963
-2.962962963t + t2 = -2.962962963

The t term is -2.962962963t.  Take half its coefficient (-1.481481482).
Square it (2.194787382) and add it to both sides.

Add '2.194787382' to each side of the equation.
-2.962962963t + 2.194787382 + t2 = -2.962962963 + 2.194787382

Reorder the terms:
2.194787382 + -2.962962963t + t2 = -2.962962963 + 2.194787382

Combine like terms: -2.962962963 + 2.194787382 = -0.768175581
2.194787382 + -2.962962963t + t2 = -0.768175581

Factor a perfect square on the left side:
(t + -1.481481482)(t + -1.481481482) = -0.768175581

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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