-2x+4=-x^2+x-7

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Solution for -2x+4=-x^2+x-7 equation: 


Simplifying
-2x + 4 = -1x2 + x + -7

Reorder the terms:
4 + -2x = -1x2 + x + -7

Reorder the terms:
4 + -2x = -7 + x + -1x2

Solving
4 + -2x = -7 + x + -1x2

Solving for variable 'x'.

Reorder the terms:
4 + 7 + -2x + -1x + x2 = -7 + x + -1x2 + 7 + -1x + x2

Combine like terms: 4 + 7 = 11
11 + -2x + -1x + x2 = -7 + x + -1x2 + 7 + -1x + x2

Combine like terms: -2x + -1x = -3x
11 + -3x + x2 = -7 + x + -1x2 + 7 + -1x + x2

Reorder the terms:
11 + -3x + x2 = -7 + 7 + x + -1x + -1x2 + x2

Combine like terms: -7 + 7 = 0
11 + -3x + x2 = 0 + x + -1x + -1x2 + x2
11 + -3x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
11 + -3x + x2 = 0 + -1x2 + x2
11 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
11 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -3x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -3x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x + x2 = 0 + -11
-3x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-3x + x2 = -11

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -11 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -11 + 2.25

Combine like terms: -11 + 2.25 = -8.75
2.25 + -3x + x2 = -8.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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