2x^2+12x+38=-100

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Solution for 2x^2+12x+38=-100 equation:


Simplifying
2x2 + 12x + 38 = -100

Reorder the terms:
38 + 12x + 2x2 = -100

Solving
38 + 12x + 2x2 = -100

Solving for variable 'x'.

Reorder the terms:
38 + 100 + 12x + 2x2 = -100 + 100

Combine like terms: 38 + 100 = 138
138 + 12x + 2x2 = -100 + 100

Combine like terms: -100 + 100 = 0
138 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(69 + 6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(69 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
69 + 6x + x2 = 0

Solving
69 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-69' to each side of the equation.
69 + 6x + -69 + x2 = 0 + -69

Reorder the terms:
69 + -69 + 6x + x2 = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 6x + x2 = 0 + -69
6x + x2 = 0 + -69

Combine like terms: 0 + -69 = -69
6x + x2 = -69

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 = -69 + 9

Reorder the terms:
9 + 6x + x2 = -69 + 9

Combine like terms: -69 + 9 = -60
9 + 6x + x2 = -60

Factor a perfect square on the left side:
(x + 3)(x + 3) = -60

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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