-5x+9=-4x(2x+3)

Solution for -5x+9=-4x(2x+3) equation:

Simplifying
-5x + 9 = -4x(2x + 3)

Reorder the terms:
9 + -5x = -4x(2x + 3)

Reorder the terms:
9 + -5x = -4x(3 + 2x)
9 + -5x = (3 * -4x + 2x * -4x)
9 + -5x = (-12x + -8x2)

Solving
9 + -5x = -12x + -8x2

Solving for variable 'x'.

Combine like terms: -5x + 12x = 7x
9 + 7x + 8x2 = -12x + -8x2 + 12x + 8x2

Reorder the terms:
9 + 7x + 8x2 = -12x + 12x + -8x2 + 8x2

Combine like terms: -12x + 12x = 0
9 + 7x + 8x2 = 0 + -8x2 + 8x2
9 + 7x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
9 + 7x + 8x2 = 0

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

Divide each side by '8'.
1.125 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 0.875x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 0.875x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 0.875x + x2 = 0 + -1.125
0.875x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
0.875x + x2 = -1.125

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -1.125 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -1.125 + 0.19140625

Combine like terms: -1.125 + 0.19140625 = -0.93359375
0.19140625 + 0.875x + x2 = -0.93359375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -0.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.