0=-x^2+160x-1500

Solution for 0=-x^2+160x-1500 equation:

Simplifying
0 = -1x2 + 160x + -1500

Reorder the terms:
0 = -1500 + 160x + -1x2

Solving
0 = -1500 + 160x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 1500 = 1500
1500 + -160x + x2 = -1500 + 160x + -1x2 + 1500 + -160x + x2

Reorder the terms:
1500 + -160x + x2 = -1500 + 1500 + 160x + -160x + -1x2 + x2

Combine like terms: -1500 + 1500 = 0
1500 + -160x + x2 = 0 + 160x + -160x + -1x2 + x2
1500 + -160x + x2 = 160x + -160x + -1x2 + x2

Combine like terms: 160x + -160x = 0
1500 + -160x + x2 = 0 + -1x2 + x2
1500 + -160x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1500 + -160x + x2 = 0

Factor a trinomial.
(10 + -1x)(150 + -1x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(150 + -1x)' equal to zero and attempt to solve:

Simplifying
150 + -1x = 0

Solving
150 + -1x = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1x = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1x = 0 + -150
-1x = 0 + -150

Combine like terms: 0 + -150 = -150
-1x = -150

Divide each side by '-1'.
x = 150

Simplifying
x = 150
Solution
x = {10, 150}