0=x(x+5)-2250

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Solution for 0=x(x+5)-2250 equation: 


Simplifying
0 = x(x + 5) + -2250

Reorder the terms:
0 = x(5 + x) + -2250
0 = (5 * x + x * x) + -2250
0 = (5x + x2) + -2250

Reorder the terms:
0 = -2250 + 5x + x2

Solving
0 = -2250 + 5x + x2

Solving for variable 'x'.

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

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

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

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