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

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

Simplifying
x(x + 3) + -3 = 6(x + -7)

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

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

Reorder the terms:
-3 + 3x + x2 = 6(-7 + x)
-3 + 3x + x2 = (-7 * 6 + x * 6)
-3 + 3x + x2 = (-42 + 6x)

Solving
-3 + 3x + x2 = -42 + 6x

Solving for variable 'x'.

Reorder the terms:
-3 + 42 + 3x + -6x + x2 = -42 + 6x + 42 + -6x

Combine like terms: -3 + 42 = 39
39 + 3x + -6x + x2 = -42 + 6x + 42 + -6x

Combine like terms: 3x + -6x = -3x
39 + -3x + x2 = -42 + 6x + 42 + -6x

Reorder the terms:
39 + -3x + x2 = -42 + 42 + 6x + -6x

Combine like terms: -42 + 42 = 0
39 + -3x + x2 = 0 + 6x + -6x
39 + -3x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
39 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + -3x + -39 + x2 = 0 + -39

Reorder the terms:
39 + -39 + -3x + x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -3x + x2 = 0 + -39
-3x + x2 = 0 + -39

Combine like terms: 0 + -39 = -39
-3x + x2 = -39

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -39 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -39 + 2.25

Combine like terms: -39 + 2.25 = -36.75
2.25 + -3x + x2 = -36.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -36.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.