-4x=x^2+12

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Solution for -4x=x^2+12 equation: 


Simplifying
-4x = x2 + 12

Reorder the terms:
-4x = 12 + x2

Solving
-4x = 12 + x2

Solving for variable 'x'.

Reorder the terms:
-12 + -4x + -1x2 = 12 + x2 + -12 + -1x2

Reorder the terms:
-12 + -4x + -1x2 = 12 + -12 + x2 + -1x2

Combine like terms: 12 + -12 = 0
-12 + -4x + -1x2 = 0 + x2 + -1x2
-12 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 4x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(12 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
12 + 4x + x2 = 0

Solving
12 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 4x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 4x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4x + x2 = 0 + -12
4x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
4x + x2 = -12

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -12 + 4

Reorder the terms:
4 + 4x + x2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + 4x + x2 = -8

Factor a perfect square on the left side:
(x + 2)(x + 2) = -8

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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