0=3t^2-4t+12

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Solution for 0=3t^2-4t+12 equation: 


Simplifying
0 = 3t2 + -4t + 12

Reorder the terms:
0 = 12 + -4t + 3t2

Solving
0 = 12 + -4t + 3t2

Solving for variable 't'.

Combine like terms: 0 + -12 = -12
-12 + 4t + -3t2 = 12 + -4t + 3t2 + -12 + 4t + -3t2

Reorder the terms:
-12 + 4t + -3t2 = 12 + -12 + -4t + 4t + 3t2 + -3t2

Combine like terms: 12 + -12 = 0
-12 + 4t + -3t2 = 0 + -4t + 4t + 3t2 + -3t2
-12 + 4t + -3t2 = -4t + 4t + 3t2 + -3t2

Combine like terms: -4t + 4t = 0
-12 + 4t + -3t2 = 0 + 3t2 + -3t2
-12 + 4t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-12 + 4t + -3t2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
4 + -1.333333333t + t2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.333333333t + -4 + t2 = 0 + -4

Reorder the terms:
4 + -4 + -1.333333333t + t2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.333333333t + t2 = 0 + -4
-1.333333333t + t2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.333333333t + t2 = -4

The t term is -1.333333333t.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333t + 0.4444444442 + t2 = -4 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333t + t2 = -4 + 0.4444444442

Combine like terms: -4 + 0.4444444442 = -3.5555555558
0.4444444442 + -1.333333333t + t2 = -3.5555555558

Factor a perfect square on the left side:
(t + -0.6666666665)(t + -0.6666666665) = -3.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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