100=-(x-1+4)(x-6)

Solution for 100=-(x-1+4)(x-6) equation:

Simplifying
100 = -1(x + -1 + 4)(x + -6)

Reorder the terms:
100 = -1(-1 + 4 + x)(x + -6)

Combine like terms: -1 + 4 = 3
100 = -1(3 + x)(x + -6)

Reorder the terms:
100 = -1(3 + x)(-6 + x)

Multiply (3 + x) * (-6 + x)
100 = -1(3(-6 + x) + x(-6 + x))
100 = -1((-6 * 3 + x * 3) + x(-6 + x))
100 = -1((-18 + 3x) + x(-6 + x))
100 = -1(-18 + 3x + (-6 * x + x * x))
100 = -1(-18 + 3x + (-6x + x2))

Combine like terms: 3x + -6x = -3x
100 = -1(-18 + -3x + x2)
100 = (-18 * -1 + -3x * -1 + x2 * -1)
100 = (18 + 3x + -1x2)

Solving
100 = 18 + 3x + -1x2

Solving for variable 'x'.

Combine like terms: 100 + -18 = 82
82 + -3x + x2 = 18 + 3x + -1x2 + -18 + -3x + x2

Reorder the terms:
82 + -3x + x2 = 18 + -18 + 3x + -3x + -1x2 + x2

Combine like terms: 18 + -18 = 0
82 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
82 + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
82 + -3x + x2 = 0 + -1x2 + x2
82 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
82 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -3x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -3x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -3x + x2 = 0 + -82
-3x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-3x + x2 = -82

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -82 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -82 + 2.25

Combine like terms: -82 + 2.25 = -79.75
2.25 + -3x + x2 = -79.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -79.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.