h^2+4h+7=0

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Solution for h^2+4h+7=0 equation:


Simplifying
h2 + 4h + 7 = 0

Reorder the terms:
7 + 4h + h2 = 0

Solving
7 + 4h + h2 = 0

Solving for variable 'h'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 4h + -7 + h2 = 0 + -7

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

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

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

The h term is 4h.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4h + 4 + h2 = -7 + 4

Reorder the terms:
4 + 4h + h2 = -7 + 4

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

Factor a perfect square on the left side:
(h + 2)(h + 2) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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