2x^2+16x+14=-20

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Solution for 2x^2+16x+14=-20 equation: 


Simplifying
2x2 + 16x + 14 = -20

Reorder the terms:
14 + 16x + 2x2 = -20

Solving
14 + 16x + 2x2 = -20

Solving for variable 'x'.

Reorder the terms:
14 + 20 + 16x + 2x2 = -20 + 20

Combine like terms: 14 + 20 = 34
34 + 16x + 2x2 = -20 + 20

Combine like terms: -20 + 20 = 0
34 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + 8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
17 + 8x + x2 = 0

Solving
17 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 8x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 8x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 8x + x2 = 0 + -17
8x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
8x + x2 = -17

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -17 + 16

Reorder the terms:
16 + 8x + x2 = -17 + 16

Combine like terms: -17 + 16 = -1
16 + 8x + x2 = -1

Factor a perfect square on the left side:
(x + 4)(x + 4) = -1

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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