x(5+2x)=462

Solution for x(5+2x)=462 equation:

Simplifying
x(5 + 2x) = 462
(5 * x + 2x * x) = 462
(5x + 2x2) = 462

Solving
5x + 2x2 = 462

Solving for variable 'x'.

Reorder the terms:
-462 + 5x + 2x2 = 462 + -462

Combine like terms: 462 + -462 = 0
-462 + 5x + 2x2 = 0

Factor a trinomial.
(-33 + -2x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -2x)' equal to zero and attempt to solve:

Simplifying
-33 + -2x = 0

Solving
-33 + -2x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -2x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -2x = 0 + 33
-2x = 0 + 33

Combine like terms: 0 + 33 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-16.5, 14}