x^2-16x+19=-9x-5

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Solution for x^2-16x+19=-9x-5 equation:


Simplifying
x2 + -16x + 19 = -9x + -5

Reorder the terms:
19 + -16x + x2 = -9x + -5

Reorder the terms:
19 + -16x + x2 = -5 + -9x

Solving
19 + -16x + x2 = -5 + -9x

Solving for variable 'x'.

Reorder the terms:
19 + 5 + -16x + 9x + x2 = -5 + -9x + 5 + 9x

Combine like terms: 19 + 5 = 24
24 + -16x + 9x + x2 = -5 + -9x + 5 + 9x

Combine like terms: -16x + 9x = -7x
24 + -7x + x2 = -5 + -9x + 5 + 9x

Reorder the terms:
24 + -7x + x2 = -5 + 5 + -9x + 9x

Combine like terms: -5 + 5 = 0
24 + -7x + x2 = 0 + -9x + 9x
24 + -7x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
24 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -7x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -7x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -7x + x2 = 0 + -24
-7x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-7x + x2 = -24

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 = -24 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -24 + 12.25

Combine like terms: -24 + 12.25 = -11.75
12.25 + -7x + x2 = -11.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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