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

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

Simplifying
-1(x + -3)(2x + -5) = 1

Reorder the terms:
-1(-3 + x)(2x + -5) = 1

Reorder the terms:
-1(-3 + x)(-5 + 2x) = 1

Multiply (-3 + x) * (-5 + 2x)
-1(-3(-5 + 2x) + x(-5 + 2x)) = 1
-1((-5 * -3 + 2x * -3) + x(-5 + 2x)) = 1
-1((15 + -6x) + x(-5 + 2x)) = 1
-1(15 + -6x + (-5 * x + 2x * x)) = 1
-1(15 + -6x + (-5x + 2x2)) = 1

Combine like terms: -6x + -5x = -11x
-1(15 + -11x + 2x2) = 1
(15 * -1 + -11x * -1 + 2x2 * -1) = 1
(-15 + 11x + -2x2) = 1

Solving
-15 + 11x + -2x2 = 1

Solving for variable 'x'.

Reorder the terms:
-15 + -1 + 11x + -2x2 = 1 + -1

Combine like terms: -15 + -1 = -16
-16 + 11x + -2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-16 + 11x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
8 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5.5x + x2 = 0 + -8
-5.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5.5x + x2 = -8

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -8 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -8 + 7.5625

Combine like terms: -8 + 7.5625 = -0.4375
7.5625 + -5.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.