x^2+7x+43=

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Solution for x^2+7x+43= equation:


Simplifying
x2 + 7x + 43 = 0

Reorder the terms:
43 + 7x + x2 = 0

Solving
43 + 7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 7x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + 7x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 7x + x2 = 0 + -43
7x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
7x + x2 = -43

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -43 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -43 + 12.25

Combine like terms: -43 + 12.25 = -30.75
12.25 + 7x + x2 = -30.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -30.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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