-5=-x^2-7x-22

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Solution for -5=-x^2-7x-22 equation:


Simplifying
-5 = -1x2 + -7x + -22

Reorder the terms:
-5 = -22 + -7x + -1x2

Solving
-5 = -22 + -7x + -1x2

Solving for variable 'x'.

Combine like terms: -5 + 22 = 17
17 + 7x + x2 = -22 + -7x + -1x2 + 22 + 7x + x2

Reorder the terms:
17 + 7x + x2 = -22 + 22 + -7x + 7x + -1x2 + x2

Combine like terms: -22 + 22 = 0
17 + 7x + x2 = 0 + -7x + 7x + -1x2 + x2
17 + 7x + x2 = -7x + 7x + -1x2 + x2

Combine like terms: -7x + 7x = 0
17 + 7x + x2 = 0 + -1x2 + x2
17 + 7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
17 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 7x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 7x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 7x + x2 = 0 + -17
7x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
7x + x2 = -17

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 = -17 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -17 + 12.25

Combine like terms: -17 + 12.25 = -4.75
12.25 + 7x + x2 = -4.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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