-3(x+2)4x=14

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Solution for -3(x+2)4x=14 equation: 


Simplifying
-3(x + 2) * 4x = 14

Reorder the terms:
-3(2 + x) * 4x = 14

Reorder the terms for easier multiplication:
-3 * 4x(2 + x) = 14

Multiply -3 * 4
-12x(2 + x) = 14
(2 * -12x + x * -12x) = 14
(-24x + -12x2) = 14

Solving
-24x + -12x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + -24x + -12x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + -24x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(7 + 12x + 6x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(7 + 12x + 6x2)' equal to zero and attempt to solve:

Simplifying
7 + 12x + 6x2 = 0

Solving
7 + 12x + 6x2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
1.166666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 2x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 2x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.166666667
2x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
2x + x2 = -1.166666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.166666667 + 1

Reorder the terms:
1 + 2x + x2 = -1.166666667 + 1

Combine like terms: -1.166666667 + 1 = -0.166666667
1 + 2x + x2 = -0.166666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.166666667

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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