2x^2+14x+20=-10

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Solution for 2x^2+14x+20=-10 equation: 


Simplifying
2x2 + 14x + 20 = -10

Reorder the terms:
20 + 14x + 2x2 = -10

Solving
20 + 14x + 2x2 = -10

Solving for variable 'x'.

Reorder the terms:
20 + 10 + 14x + 2x2 = -10 + 10

Combine like terms: 20 + 10 = 30
30 + 14x + 2x2 = -10 + 10

Combine like terms: -10 + 10 = 0
30 + 14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 7x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
15 + 7x + x2 = 0

Solving
15 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 7x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 7x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 7x + x2 = 0 + -15
7x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
7x + x2 = -15

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -15 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -15 + 12.25

Combine like terms: -15 + 12.25 = -2.75
12.25 + 7x + x2 = -2.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -2.75

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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