4t=3t^2+5

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Solution for 4t=3t^2+5 equation: 


Simplifying
4t = 3t2 + 5

Reorder the terms:
4t = 5 + 3t2

Solving
4t = 5 + 3t2

Solving for variable 't'.

Reorder the terms:
-5 + 4t + -3t2 = 5 + 3t2 + -5 + -3t2

Reorder the terms:
-5 + 4t + -3t2 = 5 + -5 + 3t2 + -3t2

Combine like terms: 5 + -5 = 0
-5 + 4t + -3t2 = 0 + 3t2 + -3t2
-5 + 4t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-5 + 4t + -3t2 = 0

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

Divide each side by '-3'.
1.666666667 + -1.333333333t + t2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.333333333t + -1.666666667 + t2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1.333333333t + t2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1.333333333t + t2 = 0 + -1.666666667
-1.333333333t + t2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1.333333333t + t2 = -1.666666667

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 = -1.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333t + t2 = -1.666666667 + 0.4444444442

Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228
0.4444444442 + -1.333333333t + t2 = -1.2222222228

Factor a perfect square on the left side:
(t + -0.6666666665)(t + -0.6666666665) = -1.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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