2250=x(x+5)

Solution for 2250=x(x+5) equation:

Simplifying
2250 = x(x + 5)

Reorder the terms:
2250 = x(5 + x)
2250 = (5 * x + x * x)
2250 = (5x + x2)

Solving
2250 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
2250 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
2250 + -5x + -1x2 = 0 + x2 + -1x2
2250 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2250 + -5x + -1x2 = 0

Factor a trinomial.
(45 + -1x)(50 + x) = 0

Subproblem 1
Set the factor '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45
Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 0

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

Add '-50' to each side of the equation.
50 + -50 + x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x = 0 + -50
x = 0 + -50

Combine like terms: 0 + -50 = -50
x = -50

Simplifying
x = -50
Solution
x = {45, -50}