(x-2)(x-5)=(x-1)(-6)

Solution for (x-2)(x-5)=(x-1)(-6) equation:

Simplifying
(x + -2)(x + -5) = (x + -1)(-6)

Reorder the terms:
(-2 + x)(x + -5) = (x + -1)(-6)

Reorder the terms:
(-2 + x)(-5 + x) = (x + -1)(-6)

Multiply (-2 + x) * (-5 + x)
(-2(-5 + x) + x(-5 + x)) = (x + -1)(-6)
((-5 * -2 + x * -2) + x(-5 + x)) = (x + -1)(-6)
((10 + -2x) + x(-5 + x)) = (x + -1)(-6)
(10 + -2x + (-5 * x + x * x)) = (x + -1)(-6)
(10 + -2x + (-5x + x2)) = (x + -1)(-6)

Combine like terms: -2x + -5x = -7x
(10 + -7x + x2) = (x + -1)(-6)

Reorder the terms:
10 + -7x + x2 = (-1 + x)(-6)

Reorder the terms for easier multiplication:
10 + -7x + x2 = -6(-1 + x)
10 + -7x + x2 = (-1 * -6 + x * -6)
10 + -7x + x2 = (6 + -6x)

Solving
10 + -7x + x2 = 6 + -6x

Solving for variable 'x'.

Reorder the terms:
10 + -6 + -7x + 6x + x2 = 6 + -6x + -6 + 6x

Combine like terms: 10 + -6 = 4
4 + -7x + 6x + x2 = 6 + -6x + -6 + 6x

Combine like terms: -7x + 6x = -1x
4 + -1x + x2 = 6 + -6x + -6 + 6x

Reorder the terms:
4 + -1x + x2 = 6 + -6 + -6x + 6x

Combine like terms: 6 + -6 = 0
4 + -1x + x2 = 0 + -6x + 6x
4 + -1x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
4 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x + x2 = 0 + -4
-1x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1x + x2 = -4

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -1x + x2 = -3.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.