X^2+20X=525

Solution for X^2+20X=525 equation:

Simplifying
X2 + 20X = 525

Reorder the terms:
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}