4(x^2+4x+4)+320=0

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Solution for 4(x^2+4x+4)+320=0 equation: 


Simplifying
4(x2 + 4x + 4) + 320 = 0

Reorder the terms:
4(4 + 4x + x2) + 320 = 0
(4 * 4 + 4x * 4 + x2 * 4) + 320 = 0
(16 + 16x + 4x2) + 320 = 0

Reorder the terms:
16 + 320 + 16x + 4x2 = 0

Combine like terms: 16 + 320 = 336
336 + 16x + 4x2 = 0

Solving
336 + 16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(84 + 4x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(84 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
84 + 4x + x2 = 0

Solving
84 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + 4x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + 4x + x2 = 0 + -84

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

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

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 = -84 + 4

Reorder the terms:
4 + 4x + x2 = -84 + 4

Combine like terms: -84 + 4 = -80
4 + 4x + x2 = -80

Factor a perfect square on the left side:
(x + 2)(x + 2) = -80

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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