0=2t^2-4t+3

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Solution for 0=2t^2-4t+3 equation:


Simplifying
0 = 2t2 + -4t + 3

Reorder the terms:
0 = 3 + -4t + 2t2

Solving
0 = 3 + -4t + 2t2

Solving for variable 't'.

Combine like terms: 0 + -3 = -3
-3 + 4t + -2t2 = 3 + -4t + 2t2 + -3 + 4t + -2t2

Reorder the terms:
-3 + 4t + -2t2 = 3 + -3 + -4t + 4t + 2t2 + -2t2

Combine like terms: 3 + -3 = 0
-3 + 4t + -2t2 = 0 + -4t + 4t + 2t2 + -2t2
-3 + 4t + -2t2 = -4t + 4t + 2t2 + -2t2

Combine like terms: -4t + 4t = 0
-3 + 4t + -2t2 = 0 + 2t2 + -2t2
-3 + 4t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
-3 + 4t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1.5 + -2t + t2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2t + -1.5 + t2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2t + t2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2t + t2 = 0 + -1.5
-2t + t2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2t + t2 = -1.5

The t term is -2t.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2t + 1 + t2 = -1.5 + 1

Reorder the terms:
1 + -2t + t2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2t + t2 = -0.5

Factor a perfect square on the left side:
(t + -1)(t + -1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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