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

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


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

Reorder the terms:
3x(4 + 2x) = 3x + -7
(4 * 3x + 2x * 3x) = 3x + -7
(12x + 6x2) = 3x + -7

Reorder the terms:
12x + 6x2 = -7 + 3x

Solving
12x + 6x2 = -7 + 3x

Solving for variable 'x'.

Reorder the terms:
7 + 12x + -3x + 6x2 = -7 + 3x + 7 + -3x

Combine like terms: 12x + -3x = 9x
7 + 9x + 6x2 = -7 + 3x + 7 + -3x

Reorder the terms:
7 + 9x + 6x2 = -7 + 7 + 3x + -3x

Combine like terms: -7 + 7 = 0
7 + 9x + 6x2 = 0 + 3x + -3x
7 + 9x + 6x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 9x + 6x2 = 0

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

Divide each side by '6'.
1.166666667 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 1.5x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 1.5x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 1.5x + x2 = 0 + -1.166666667
1.5x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
1.5x + x2 = -1.166666667

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -1.166666667 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -1.166666667 + 0.5625

Combine like terms: -1.166666667 + 0.5625 = -0.604166667
0.5625 + 1.5x + x2 = -0.604166667

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -0.604166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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