525=x(x+20)

Solution for 525=x(x+20) equation:

Simplifying
525 = x(x + 20)

Reorder the terms:
525 = x(20 + x)
525 = (20 * x + x * x)
525 = (20x + x2)

Solving
525 = 20x + x2

Solving for variable 'x'.

Reorder the terms:
525 + -20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
525 + -20x + -1x2 = 0 + x2 + -1x2
525 + -20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
525 + -20x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(35 + x) = 0

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(35 + x)' equal to zero and attempt to solve:

Simplifying
35 + x = 0

Solving
35 + x = 0

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

Add '-35' to each side of the equation.
35 + -35 + x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + x = 0 + -35
x = 0 + -35

Combine like terms: 0 + -35 = -35
x = -35

Simplifying
x = -35
Solution
x = {15, -35}