18x+2x*x=380

Solution for 18x+2x*x=380 equation:

Simplifying
18x + 2x * x = 380

Multiply x * x
18x + 2x2 = 380

Solving
18x + 2x2 = 380

Solving for variable 'x'.

Reorder the terms:
-380 + 18x + 2x2 = 380 + -380

Combine like terms: 380 + -380 = 0
-380 + 18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-190 + 9x + x2) = 0

Factor a trinomial.
2((-19 + -1x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

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

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

Divide each side by '-1'.
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-19, 10}