-(x^2-735x+24500)=0

Solution for -(x^2-735x+24500)=0 equation:

Simplifying
-1(x2 + -735x + 24500) = 0

Reorder the terms:
-1(24500 + -735x + x2) = 0
(24500 * -1 + -735x * -1 + x2 * -1) = 0
(-24500 + 735x + -1x2) = 0

Solving
-24500 + 735x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-700 + x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-700 + x)' equal to zero and attempt to solve:

Simplifying
-700 + x = 0

Solving
-700 + x = 0

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

Add '700' to each side of the equation.
-700 + 700 + x = 0 + 700

Combine like terms: -700 + 700 = 0
0 + x = 0 + 700
x = 0 + 700

Combine like terms: 0 + 700 = 700
x = 700

Simplifying
x = 700
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {700, 35}