-x^2+10000=150x

Solution for -x^2+10000=150x equation:

Simplifying
-1x2 + 10000 = 150x

Reorder the terms:
10000 + -1x2 = 150x

Solving
10000 + -1x2 = 150x

Solving for variable 'x'.

Reorder the terms:
10000 + -150x + -1x2 = 150x + -150x

Combine like terms: 150x + -150x = 0
10000 + -150x + -1x2 = 0

Factor a trinomial.
(50 + -1x)(200 + x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 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 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(200 + x)' equal to zero and attempt to solve:

Simplifying
200 + x = 0

Solving
200 + x = 0

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

Add '-200' to each side of the equation.
200 + -200 + x = 0 + -200

Combine like terms: 200 + -200 = 0
0 + x = 0 + -200
x = 0 + -200

Combine like terms: 0 + -200 = -200
x = -200

Simplifying
x = -200
Solution
x = {50, -200}