x(x+20)=525

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

Simplifying
x(x + 20) = 525

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

Solving
20x + x2 = 525

Solving for variable 'x'.

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

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

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

Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 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 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35
Subproblem 2
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
Solution
x = {-35, 15}