x*2(x+3)=-24

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Solution for x*2(x+3)=-24 equation: 


Simplifying
x * 2(x + 3) = -24

Reorder the terms:
x * 2(3 + x) = -24

Reorder the terms for easier multiplication:
2x(3 + x) = -24
(3 * 2x + x * 2x) = -24
(6x + 2x2) = -24

Solving
6x + 2x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + 6x + 2x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
12 + 3x + x2 = 0

Solving
12 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + x2 = 0 + -12
3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
3x + x2 = -12

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -12 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + 3x + x2 = -9.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -9.75

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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