-x^2+715x-10500=0

Solution for -x^2+715x-10500=0 equation:

Simplifying
-1x2 + 715x + -10500 = 0

Reorder the terms:
-10500 + 715x + -1x2 = 0

Solving
-10500 + 715x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-700 + x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {700, 15}