3h-2=2h^2

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Solution for 3h-2=2h^2 equation:


Simplifying
3h + -2 = 2h2

Reorder the terms:
-2 + 3h = 2h2

Solving
-2 + 3h = 2h2

Solving for variable 'h'.

Combine like terms: 2h2 + -2h2 = 0
-2 + 3h + -2h2 = 0

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

Divide each side by '-2'.
1 + -1.5h + h2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5h + -1 + h2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5h + h2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5h + h2 = 0 + -1
-1.5h + h2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5h + h2 = -1

The h term is -1.5h.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5h + 0.5625 + h2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5h + h2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5h + h2 = -0.4375

Factor a perfect square on the left side:
(h + -0.75)(h + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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