-7=x*x+2x+1

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Solution for -7=x*x+2x+1 equation: 


Simplifying
-7 = x * x + 2x + 1

Multiply x * x
-7 = x2 + 2x + 1

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

Solving
-7 = 1 + 2x + x2

Solving for variable 'x'.

Combine like terms: -7 + -1 = -8
-8 + -2x + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

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

Combine like terms: 1 + -1 = 0
-8 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-8 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-8 + -2x + -1x2 = 0 + x2 + -1x2
-8 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -2x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 2x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
8 + 2x + x2 = 0

Solving
8 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x + x2 = 0 + -8
2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
2x + x2 = -8

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -8 + 1

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

Combine like terms: -8 + 1 = -7
1 + 2x + x2 = -7

Factor a perfect square on the left side:
(x + 1)(x + 1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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