8x(x+3)+4(x+3)=7x-7

Solution for 8x(x+3)+4(x+3)=7x-7 equation:

Simplifying
8x(x + 3) + 4(x + 3) = 7x + -7

Reorder the terms:
8x(3 + x) + 4(x + 3) = 7x + -7
(3 * 8x + x * 8x) + 4(x + 3) = 7x + -7
(24x + 8x2) + 4(x + 3) = 7x + -7

Reorder the terms:
24x + 8x2 + 4(3 + x) = 7x + -7
24x + 8x2 + (3 * 4 + x * 4) = 7x + -7
24x + 8x2 + (12 + 4x) = 7x + -7

Reorder the terms:
12 + 24x + 4x + 8x2 = 7x + -7

Combine like terms: 24x + 4x = 28x
12 + 28x + 8x2 = 7x + -7

Reorder the terms:
12 + 28x + 8x2 = -7 + 7x

Solving
12 + 28x + 8x2 = -7 + 7x

Solving for variable 'x'.

Reorder the terms:
12 + 7 + 28x + -7x + 8x2 = -7 + 7x + 7 + -7x

Combine like terms: 12 + 7 = 19
19 + 28x + -7x + 8x2 = -7 + 7x + 7 + -7x

Combine like terms: 28x + -7x = 21x
19 + 21x + 8x2 = -7 + 7x + 7 + -7x

Reorder the terms:
19 + 21x + 8x2 = -7 + 7 + 7x + -7x

Combine like terms: -7 + 7 = 0
19 + 21x + 8x2 = 0 + 7x + -7x
19 + 21x + 8x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
19 + 21x + 8x2 = 0

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

Divide each side by '8'.
2.375 + 2.625x + x2 = 0

Move the constant term to the right:

Add '-2.375' to each side of the equation.
2.375 + 2.625x + -2.375 + x2 = 0 + -2.375

Reorder the terms:
2.375 + -2.375 + 2.625x + x2 = 0 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + 2.625x + x2 = 0 + -2.375
2.625x + x2 = 0 + -2.375

Combine like terms: 0 + -2.375 = -2.375
2.625x + x2 = -2.375

The x term is 2.625x.  Take half its coefficient (1.3125).
Square it (1.72265625) and add it to both sides.

Add '1.72265625' to each side of the equation.
2.625x + 1.72265625 + x2 = -2.375 + 1.72265625

Reorder the terms:
1.72265625 + 2.625x + x2 = -2.375 + 1.72265625

Combine like terms: -2.375 + 1.72265625 = -0.65234375
1.72265625 + 2.625x + x2 = -0.65234375

Factor a perfect square on the left side:
(x + 1.3125)(x + 1.3125) = -0.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.