0=x^2+6x+48

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Solution for 0=x^2+6x+48 equation: 


Simplifying
0 = x2 + 6x + 48

Reorder the terms:
0 = 48 + 6x + x2

Solving
0 = 48 + 6x + x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + -6x + -1x2 = 48 + 6x + x2 + -48 + -6x + -1x2

Reorder the terms:
-48 + -6x + -1x2 = 48 + -48 + 6x + -6x + x2 + -1x2

Combine like terms: 48 + -48 = 0
-48 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-48 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-48 + -6x + -1x2 = 0 + x2 + -1x2
-48 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(48 + 6x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(48 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
48 + 6x + x2 = 0

Solving
48 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 6x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 6x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6x + x2 = 0 + -48
6x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
6x + x2 = -48

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 = -48 + 9

Reorder the terms:
9 + 6x + x2 = -48 + 9

Combine like terms: -48 + 9 = -39
9 + 6x + x2 = -39

Factor a perfect square on the left side:
(x + 3)(x + 3) = -39

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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