9385=x^2+25x+35

Solution for 9385=x^2+25x+35 equation:

Simplifying
9385 = x2 + 25x + 35

Reorder the terms:
9385 = 35 + 25x + x2

Solving
9385 = 35 + 25x + x2

Solving for variable 'x'.

Combine like terms: 9385 + -35 = 9350
9350 + -25x + -1x2 = 35 + 25x + x2 + -35 + -25x + -1x2

Reorder the terms:
9350 + -25x + -1x2 = 35 + -35 + 25x + -25x + x2 + -1x2

Combine like terms: 35 + -35 = 0
9350 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
9350 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
9350 + -25x + -1x2 = 0 + x2 + -1x2
9350 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9350 + -25x + -1x2 = 0

Factor a trinomial.
(85 + -1x)(110 + x) = 0

Subproblem 1
Set the factor '(85 + -1x)' equal to zero and attempt to solve:

Simplifying
85 + -1x = 0

Solving
85 + -1x = 0

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

Add '-85' to each side of the equation.
85 + -85 + -1x = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -1x = 0 + -85
-1x = 0 + -85

Combine like terms: 0 + -85 = -85
-1x = -85

Divide each side by '-1'.
x = 85

Simplifying
x = 85
Subproblem 2
Set the factor '(110 + x)' equal to zero and attempt to solve:

Simplifying
110 + x = 0

Solving
110 + x = 0

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

Add '-110' to each side of the equation.
110 + -110 + x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + x = 0 + -110
x = 0 + -110

Combine like terms: 0 + -110 = -110
x = -110

Simplifying
x = -110
Solution
x = {85, -110}