2-5(9-3x)=2(10x-1)x

Solution for 2-5(9-3x)=2(10x-1)x equation:

Simplifying
2 + -5(9 + -3x) = 2(10x + -1) * x
2 + (9 * -5 + -3x * -5) = 2(10x + -1) * x
2 + (-45 + 15x) = 2(10x + -1) * x

Combine like terms: 2 + -45 = -43
-43 + 15x = 2(10x + -1) * x

Reorder the terms:
-43 + 15x = 2(-1 + 10x) * x

Reorder the terms for easier multiplication:
-43 + 15x = 2x(-1 + 10x)
-43 + 15x = (-1 * 2x + 10x * 2x)
-43 + 15x = (-2x + 20x2)

Solving
-43 + 15x = -2x + 20x2

Solving for variable 'x'.

Combine like terms: 15x + 2x = 17x
-43 + 17x + -20x2 = -2x + 20x2 + 2x + -20x2

Reorder the terms:
-43 + 17x + -20x2 = -2x + 2x + 20x2 + -20x2

Combine like terms: -2x + 2x = 0
-43 + 17x + -20x2 = 0 + 20x2 + -20x2
-43 + 17x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-43 + 17x + -20x2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
2.15 + -0.85x + x2 = 0

Move the constant term to the right:

Add '-2.15' to each side of the equation.
2.15 + -0.85x + -2.15 + x2 = 0 + -2.15

Reorder the terms:
2.15 + -2.15 + -0.85x + x2 = 0 + -2.15

Combine like terms: 2.15 + -2.15 = 0.00
0.00 + -0.85x + x2 = 0 + -2.15
-0.85x + x2 = 0 + -2.15

Combine like terms: 0 + -2.15 = -2.15
-0.85x + x2 = -2.15

The x term is -0.85x.  Take half its coefficient (-0.425).
Square it (0.180625) and add it to both sides.

Add '0.180625' to each side of the equation.
-0.85x + 0.180625 + x2 = -2.15 + 0.180625

Reorder the terms:
0.180625 + -0.85x + x2 = -2.15 + 0.180625

Combine like terms: -2.15 + 0.180625 = -1.969375
0.180625 + -0.85x + x2 = -1.969375

Factor a perfect square on the left side:
(x + -0.425)(x + -0.425) = -1.969375

Can't calculate square root of the right side.

The solution to this equation could not be determined.