4x(x+3)+18=3(x-2)

Solution for 4x(x+3)+18=3(x-2) equation:

Simplifying
4x(x + 3) + 18 = 3(x + -2)

Reorder the terms:
4x(3 + x) + 18 = 3(x + -2)
(3 * 4x + x * 4x) + 18 = 3(x + -2)
(12x + 4x2) + 18 = 3(x + -2)

Reorder the terms:
18 + 12x + 4x2 = 3(x + -2)

Reorder the terms:
18 + 12x + 4x2 = 3(-2 + x)
18 + 12x + 4x2 = (-2 * 3 + x * 3)
18 + 12x + 4x2 = (-6 + 3x)

Solving
18 + 12x + 4x2 = -6 + 3x

Solving for variable 'x'.

Reorder the terms:
18 + 6 + 12x + -3x + 4x2 = -6 + 3x + 6 + -3x

Combine like terms: 18 + 6 = 24
24 + 12x + -3x + 4x2 = -6 + 3x + 6 + -3x

Combine like terms: 12x + -3x = 9x
24 + 9x + 4x2 = -6 + 3x + 6 + -3x

Reorder the terms:
24 + 9x + 4x2 = -6 + 6 + 3x + -3x

Combine like terms: -6 + 6 = 0
24 + 9x + 4x2 = 0 + 3x + -3x
24 + 9x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 9x + 4x2 = 0

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

Divide each side by '4'.
6 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2.25x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 2.25x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2.25x + x2 = 0 + -6
2.25x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
2.25x + x2 = -6

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -6 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -6 + 1.265625

Combine like terms: -6 + 1.265625 = -4.734375
1.265625 + 2.25x + x2 = -4.734375

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = -4.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.