4x(2x+9)-3(5x-6)=

Solution for 4x(2x+9)-3(5x-6)= equation:

Simplifying
4x(2x + 9) + -3(5x + -6) = 0

Reorder the terms:
4x(9 + 2x) + -3(5x + -6) = 0
(9 * 4x + 2x * 4x) + -3(5x + -6) = 0
(36x + 8x2) + -3(5x + -6) = 0

Reorder the terms:
36x + 8x2 + -3(-6 + 5x) = 0
36x + 8x2 + (-6 * -3 + 5x * -3) = 0
36x + 8x2 + (18 + -15x) = 0

Reorder the terms:
18 + 36x + -15x + 8x2 = 0

Combine like terms: 36x + -15x = 21x
18 + 21x + 8x2 = 0

Solving
18 + 21x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
2.25 + 2.625x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 2.625x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 2.625x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 2.625x + x2 = 0 + -2.25
2.625x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
2.625x + x2 = -2.25

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 = -2.25 + 1.72265625

Reorder the terms:
1.72265625 + 2.625x + x2 = -2.25 + 1.72265625

Combine like terms: -2.25 + 1.72265625 = -0.52734375
1.72265625 + 2.625x + x2 = -0.52734375

Factor a perfect square on the left side:
(x + 1.3125)(x + 1.3125) = -0.52734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.