(2h^2-7h+10)+(h^2+4h+7)=0

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Solution for (2h^2-7h+10)+(h^2+4h+7)=0 equation:


Simplifying
(2h2 + -7h + 10) + (h2 + 4h + 7) = 0

Reorder the terms:
(10 + -7h + 2h2) + (h2 + 4h + 7) = 0

Remove parenthesis around (10 + -7h + 2h2)
10 + -7h + 2h2 + (h2 + 4h + 7) = 0

Reorder the terms:
10 + -7h + 2h2 + (7 + 4h + h2) = 0

Remove parenthesis around (7 + 4h + h2)
10 + -7h + 2h2 + 7 + 4h + h2 = 0

Reorder the terms:
10 + 7 + -7h + 4h + 2h2 + h2 = 0

Combine like terms: 10 + 7 = 17
17 + -7h + 4h + 2h2 + h2 = 0

Combine like terms: -7h + 4h = -3h
17 + -3h + 2h2 + h2 = 0

Combine like terms: 2h2 + h2 = 3h2
17 + -3h + 3h2 = 0

Solving
17 + -3h + 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'.
5.666666667 + -1h + h2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + -1h + -5.666666667 + h2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + -1h + h2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + -1h + h2 = 0 + -5.666666667
-1h + h2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
-1h + h2 = -5.666666667

The h term is -1h.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1h + 0.25 + h2 = -5.666666667 + 0.25

Reorder the terms:
0.25 + -1h + h2 = -5.666666667 + 0.25

Combine like terms: -5.666666667 + 0.25 = -5.416666667
0.25 + -1h + h2 = -5.416666667

Factor a perfect square on the left side:
(h + -0.5)(h + -0.5) = -5.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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