(8x+19)x=27

Solution for (8x+19)x=27 equation:

Simplifying
(8x + 19) * x = 27

Reorder the terms:
(19 + 8x) * x = 27

Reorder the terms for easier multiplication:
x(19 + 8x) = 27
(19 * x + 8x * x) = 27
(19x + 8x2) = 27

Solving
19x + 8x2 = 27

Solving for variable 'x'.

Reorder the terms:
-27 + 19x + 8x2 = 27 + -27

Combine like terms: 27 + -27 = 0
-27 + 19x + 8x2 = 0

Factor a trinomial.
(-27 + -8x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-27 + -8x)' equal to zero and attempt to solve:

Simplifying
-27 + -8x = 0

Solving
-27 + -8x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -8x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -8x = 0 + 27
-8x = 0 + 27

Combine like terms: 0 + 27 = 27
-8x = 27

Divide each side by '-8'.
x = -3.375

Simplifying
x = -3.375
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3.375, 1}