3h^2-20h+39=0

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Solution for 3h^2-20h+39=0 equation:


Simplifying
3h2 + -20h + 39 = 0

Reorder the terms:
39 + -20h + 3h2 = 0

Solving
39 + -20h + 3h2 = 0

Solving for variable 'h'.

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

Divide each side by '3'.
13 + -6.666666667h + h2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6.666666667h + -13 + h2 = 0 + -13

Reorder the terms:
13 + -13 + -6.666666667h + h2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6.666666667h + h2 = 0 + -13
-6.666666667h + h2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6.666666667h + h2 = -13

The h term is -6.666666667h.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667h + 11.11111112 + h2 = -13 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667h + h2 = -13 + 11.11111112

Combine like terms: -13 + 11.11111112 = -1.88888888
11.11111112 + -6.666666667h + h2 = -1.88888888

Factor a perfect square on the left side:
(h + -3.333333334)(h + -3.333333334) = -1.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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