1316=x*(19+x)

Solution for 1316=x*(19+x) equation:

Simplifying
1316 = x(19 + x)
1316 = (19 * x + x * x)
1316 = (19x + x2)

Solving
1316 = 19x + x2

Solving for variable 'x'.

Reorder the terms:
1316 + -19x + -1x2 = 19x + -19x + x2 + -1x2

Combine like terms: 19x + -19x = 0
1316 + -19x + -1x2 = 0 + x2 + -1x2
1316 + -19x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1316 + -19x + -1x2 = 0

Factor a trinomial.
(28 + -1x)(47 + x) = 0

Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Subproblem 2
Set the factor '(47 + x)' equal to zero and attempt to solve:

Simplifying
47 + x = 0

Solving
47 + x = 0

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

Add '-47' to each side of the equation.
47 + -47 + x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + x = 0 + -47
x = 0 + -47

Combine like terms: 0 + -47 = -47
x = -47

Simplifying
x = -47
Solution
x = {28, -47}