9935=x^2+20x+35

Solution for 9935=x^2+20x+35 equation:

Simplifying
9935 = x2 + 20x + 35

Reorder the terms:
9935 = 35 + 20x + x2

Solving
9935 = 35 + 20x + x2

Solving for variable 'x'.

Combine like terms: 9935 + -35 = 9900
9900 + -20x + -1x2 = 35 + 20x + x2 + -35 + -20x + -1x2

Reorder the terms:
9900 + -20x + -1x2 = 35 + -35 + 20x + -20x + x2 + -1x2

Combine like terms: 35 + -35 = 0
9900 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2
9900 + -20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
9900 + -20x + -1x2 = 0 + x2 + -1x2
9900 + -20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9900 + -20x + -1x2 = 0

Factor a trinomial.
(90 + -1x)(110 + x) = 0

Subproblem 1
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
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 = {90, -110}