0=2x^2+24x+336

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Solution for 0=2x^2+24x+336 equation: 


Simplifying
0 = 2x2 + 24x + 336

Reorder the terms:
0 = 336 + 24x + 2x2

Solving
0 = 336 + 24x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -336 = -336
-336 + -24x + -2x2 = 336 + 24x + 2x2 + -336 + -24x + -2x2

Reorder the terms:
-336 + -24x + -2x2 = 336 + -336 + 24x + -24x + 2x2 + -2x2

Combine like terms: 336 + -336 = 0
-336 + -24x + -2x2 = 0 + 24x + -24x + 2x2 + -2x2
-336 + -24x + -2x2 = 24x + -24x + 2x2 + -2x2

Combine like terms: 24x + -24x = 0
-336 + -24x + -2x2 = 0 + 2x2 + -2x2
-336 + -24x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-336 + -24x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(168 + 12x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(168 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
168 + 12x + x2 = 0

Solving
168 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-168' to each side of the equation.
168 + 12x + -168 + x2 = 0 + -168

Reorder the terms:
168 + -168 + 12x + x2 = 0 + -168

Combine like terms: 168 + -168 = 0
0 + 12x + x2 = 0 + -168
12x + x2 = 0 + -168

Combine like terms: 0 + -168 = -168
12x + x2 = -168

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -168 + 36

Reorder the terms:
36 + 12x + x2 = -168 + 36

Combine like terms: -168 + 36 = -132
36 + 12x + x2 = -132

Factor a perfect square on the left side:
(x + 6)(x + 6) = -132

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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