x^2-16x+19=-7x-1

Solution for x^2-16x+19=-7x-1 equation:

Simplifying
x2 + -16x + 19 = -7x + -1

Reorder the terms:
19 + -16x + x2 = -7x + -1

Reorder the terms:
19 + -16x + x2 = -1 + -7x

Solving
19 + -16x + x2 = -1 + -7x

Solving for variable 'x'.

Reorder the terms:
19 + 1 + -16x + 7x + x2 = -1 + -7x + 1 + 7x

Combine like terms: 19 + 1 = 20
20 + -16x + 7x + x2 = -1 + -7x + 1 + 7x

Combine like terms: -16x + 7x = -9x
20 + -9x + x2 = -1 + -7x + 1 + 7x

Reorder the terms:
20 + -9x + x2 = -1 + 1 + -7x + 7x

Combine like terms: -1 + 1 = 0
20 + -9x + x2 = 0 + -7x + 7x
20 + -9x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
20 + -9x + x2 = 0

Factor a trinomial.
(4 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {4, 5}