4(x+6)+2x(3x+2)-7=

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Solution for 4(x+6)+2x(3x+2)-7= equation: 


Simplifying
4(x + 6) + 2x(3x + 2) + -7 = 0

Reorder the terms:
4(6 + x) + 2x(3x + 2) + -7 = 0
(6 * 4 + x * 4) + 2x(3x + 2) + -7 = 0
(24 + 4x) + 2x(3x + 2) + -7 = 0

Reorder the terms:
24 + 4x + 2x(2 + 3x) + -7 = 0
24 + 4x + (2 * 2x + 3x * 2x) + -7 = 0
24 + 4x + (4x + 6x2) + -7 = 0

Reorder the terms:
24 + -7 + 4x + 4x + 6x2 = 0

Combine like terms: 24 + -7 = 17
17 + 4x + 4x + 6x2 = 0

Combine like terms: 4x + 4x = 8x
17 + 8x + 6x2 = 0

Solving
17 + 8x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.833333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.833333333' to each side of the equation.
2.833333333 + 1.333333333x + -2.833333333 + x2 = 0 + -2.833333333

Reorder the terms:
2.833333333 + -2.833333333 + 1.333333333x + x2 = 0 + -2.833333333

Combine like terms: 2.833333333 + -2.833333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.833333333
1.333333333x + x2 = 0 + -2.833333333

Combine like terms: 0 + -2.833333333 = -2.833333333
1.333333333x + x2 = -2.833333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -2.833333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.833333333 + 0.4444444442

Combine like terms: -2.833333333 + 0.4444444442 = -2.3888888888
0.4444444442 + 1.333333333x + x2 = -2.3888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -2.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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