2h^2+3=4h

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Solution for 2h^2+3=4h equation:


Simplifying
2h2 + 3 = 4h

Reorder the terms:
3 + 2h2 = 4h

Solving
3 + 2h2 = 4h

Solving for variable 'h'.

Reorder the terms:
3 + -4h + 2h2 = 4h + -4h

Combine like terms: 4h + -4h = 0
3 + -4h + 2h2 = 0

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

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

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2h + -1.5 + h2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2h + h2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2h + h2 = 0 + -1.5
-2h + h2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2h + h2 = -1.5

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

Add '1' to each side of the equation.
-2h + 1 + h2 = -1.5 + 1

Reorder the terms:
1 + -2h + h2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2h + h2 = -0.5

Factor a perfect square on the left side:
(h + -1)(h + -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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