4x^2+24x+336=252

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Solution for 4x^2+24x+336=252 equation: 


Simplifying
4x2 + 24x + 336 = 252

Reorder the terms:
336 + 24x + 4x2 = 252

Solving
336 + 24x + 4x2 = 252

Solving for variable 'x'.

Reorder the terms:
336 + -252 + 24x + 4x2 = 252 + -252

Combine like terms: 336 + -252 = 84
84 + 24x + 4x2 = 252 + -252

Combine like terms: 252 + -252 = 0
84 + 24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + 6x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(21 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
21 + 6x + x2 = 0

Solving
21 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + 6x + -21 + x2 = 0 + -21

Reorder the terms:
21 + -21 + 6x + x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 6x + x2 = 0 + -21
6x + x2 = 0 + -21

Combine like terms: 0 + -21 = -21
6x + x2 = -21

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 = -21 + 9

Reorder the terms:
9 + 6x + x2 = -21 + 9

Combine like terms: -21 + 9 = -12
9 + 6x + x2 = -12

Factor a perfect square on the left side:
(x + 3)(x + 3) = -12

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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