15=-3x(2x+1)+7

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Solution for 15=-3x(2x+1)+7 equation: 


Simplifying
15 = -3x(2x + 1) + 7

Reorder the terms:
15 = -3x(1 + 2x) + 7
15 = (1 * -3x + 2x * -3x) + 7
15 = (-3x + -6x2) + 7

Reorder the terms:
15 = 7 + -3x + -6x2

Solving
15 = 7 + -3x + -6x2

Solving for variable 'x'.

Combine like terms: 15 + -7 = 8
8 + 3x + 6x2 = 7 + -3x + -6x2 + -7 + 3x + 6x2

Reorder the terms:
8 + 3x + 6x2 = 7 + -7 + -3x + 3x + -6x2 + 6x2

Combine like terms: 7 + -7 = 0
8 + 3x + 6x2 = 0 + -3x + 3x + -6x2 + 6x2
8 + 3x + 6x2 = -3x + 3x + -6x2 + 6x2

Combine like terms: -3x + 3x = 0
8 + 3x + 6x2 = 0 + -6x2 + 6x2
8 + 3x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
8 + 3x + 6x2 = 0

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

Divide each side by '6'.
1.333333333 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.5x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.5x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.5x + x2 = 0 + -1.333333333
0.5x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.5x + x2 = -1.333333333

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -1.333333333 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1.333333333 + 0.0625

Combine like terms: -1.333333333 + 0.0625 = -1.270833333
0.0625 + 0.5x + x2 = -1.270833333

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -1.270833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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