(2x+1)x=528

Solution for (2x+1)x=528 equation:

Simplifying
(2x + 1) * x = 528

Reorder the terms:
(1 + 2x) * x = 528

Reorder the terms for easier multiplication:
x(1 + 2x) = 528
(1 * x + 2x * x) = 528
(1x + 2x2) = 528

Solving
1x + 2x2 = 528

Solving for variable 'x'.

Reorder the terms:
-528 + 1x + 2x2 = 528 + -528

Combine like terms: 528 + -528 = 0
-528 + 1x + 2x2 = 0

Factor a trinomial.
(-33 + -2x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-16.5, 16}