30=(x)(3x+1)

Solution for 30=(x)(3x+1) equation:

Simplifying
30 = (x)(3x + 1)

Reorder the terms:
30 = x(1 + 3x)
30 = (1 * x + 3x * x)
30 = (1x + 3x2)

Solving
30 = 1x + 3x2

Solving for variable 'x'.

Reorder the terms:
30 + -1x + -3x2 = 1x + -1x + 3x2 + -3x2

Combine like terms: 1x + -1x = 0
30 + -1x + -3x2 = 0 + 3x2 + -3x2
30 + -1x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + -1x + -3x2 = 0

Factor a trinomial.
(3 + -1x)(10 + 3x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 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 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {3, -3.333333333}