150x-x^2-2600=0

Solution for 150x-x^2-2600=0 equation:

Simplifying
150x + -1x2 + -2600 = 0

Reorder the terms:
-2600 + 150x + -1x2 = 0

Solving
-2600 + 150x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-130 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-130 + x)' equal to zero and attempt to solve:

Simplifying
-130 + x = 0

Solving
-130 + x = 0

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

Add '130' to each side of the equation.
-130 + 130 + x = 0 + 130

Combine like terms: -130 + 130 = 0
0 + x = 0 + 130
x = 0 + 130

Combine like terms: 0 + 130 = 130
x = 130

Simplifying
x = 130
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

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

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

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {130, 20}