2x+1=-x^2+8x-9

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Solution for 2x+1=-x^2+8x-9 equation: 


Simplifying
2x + 1 = -1x2 + 8x + -9

Reorder the terms:
1 + 2x = -1x2 + 8x + -9

Reorder the terms:
1 + 2x = -9 + 8x + -1x2

Solving
1 + 2x = -9 + 8x + -1x2

Solving for variable 'x'.

Reorder the terms:
1 + 9 + 2x + -8x + x2 = -9 + 8x + -1x2 + 9 + -8x + x2

Combine like terms: 1 + 9 = 10
10 + 2x + -8x + x2 = -9 + 8x + -1x2 + 9 + -8x + x2

Combine like terms: 2x + -8x = -6x
10 + -6x + x2 = -9 + 8x + -1x2 + 9 + -8x + x2

Reorder the terms:
10 + -6x + x2 = -9 + 9 + 8x + -8x + -1x2 + x2

Combine like terms: -9 + 9 = 0
10 + -6x + x2 = 0 + 8x + -8x + -1x2 + x2
10 + -6x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
10 + -6x + x2 = 0 + -1x2 + x2
10 + -6x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -6x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x + x2 = 0 + -10
-6x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6x + x2 = -10

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -10 + 9

Reorder the terms:
9 + -6x + x2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6x + x2 = -1

Factor a perfect square on the left side:
(x + -3)(x + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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