8x(x+1)=9(x-2)

Solution for 8x(x+1)=9(x-2) equation:

Simplifying
8x(x + 1) = 9(x + -2)

Reorder the terms:
8x(1 + x) = 9(x + -2)
(1 * 8x + x * 8x) = 9(x + -2)
(8x + 8x2) = 9(x + -2)

Reorder the terms:
8x + 8x2 = 9(-2 + x)
8x + 8x2 = (-2 * 9 + x * 9)
8x + 8x2 = (-18 + 9x)

Solving
8x + 8x2 = -18 + 9x

Solving for variable 'x'.

Reorder the terms:
18 + 8x + -9x + 8x2 = -18 + 9x + 18 + -9x

Combine like terms: 8x + -9x = -1x
18 + -1x + 8x2 = -18 + 9x + 18 + -9x

Reorder the terms:
18 + -1x + 8x2 = -18 + 18 + 9x + -9x

Combine like terms: -18 + 18 = 0
18 + -1x + 8x2 = 0 + 9x + -9x
18 + -1x + 8x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
18 + -1x + 8x2 = 0

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

Divide each side by '8'.
2.25 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -0.125x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -0.125x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -0.125x + x2 = 0 + -2.25
-0.125x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-0.125x + x2 = -2.25

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -2.25 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -2.25 + 0.00390625

Combine like terms: -2.25 + 0.00390625 = -2.24609375
0.00390625 + -0.125x + x2 = -2.24609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -2.24609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.