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

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

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

Reorder the terms:
5x(-3 + 2x) = 4(x + -9)
(-3 * 5x + 2x * 5x) = 4(x + -9)
(-15x + 10x2) = 4(x + -9)

Reorder the terms:
-15x + 10x2 = 4(-9 + x)
-15x + 10x2 = (-9 * 4 + x * 4)
-15x + 10x2 = (-36 + 4x)

Solving
-15x + 10x2 = -36 + 4x

Solving for variable 'x'.

Reorder the terms:
36 + -15x + -4x + 10x2 = -36 + 4x + 36 + -4x

Combine like terms: -15x + -4x = -19x
36 + -19x + 10x2 = -36 + 4x + 36 + -4x

Reorder the terms:
36 + -19x + 10x2 = -36 + 36 + 4x + -4x

Combine like terms: -36 + 36 = 0
36 + -19x + 10x2 = 0 + 4x + -4x
36 + -19x + 10x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -19x + 10x2 = 0

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

Divide each side by '10'.
3.6 + -1.9x + x2 = 0.0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + -1.9x + -3.6 + x2 = 0.0 + -3.6

Reorder the terms:
3.6 + -3.6 + -1.9x + x2 = 0.0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -1.9x + x2 = 0.0 + -3.6
-1.9x + x2 = 0.0 + -3.6

Combine like terms: 0.0 + -3.6 = -3.6
-1.9x + x2 = -3.6

The x term is -1.9x.  Take half its coefficient (-0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
-1.9x + 0.9025 + x2 = -3.6 + 0.9025

Reorder the terms:
0.9025 + -1.9x + x2 = -3.6 + 0.9025

Combine like terms: -3.6 + 0.9025 = -2.6975
0.9025 + -1.9x + x2 = -2.6975

Factor a perfect square on the left side:
(x + -0.95)(x + -0.95) = -2.6975

Can't calculate square root of the right side.

The solution to this equation could not be determined.