0=x^2+x-210

Solution for 0=x^2+x-210 equation:

Simplifying
0 = x2 + x + -210

Reorder the terms:
0 = -210 + x + x2

Solving
0 = -210 + x + x2

Solving for variable 'x'.

Combine like terms: 0 + 210 = 210
210 + -1x + -1x2 = -210 + x + x2 + 210 + -1x + -1x2

Reorder the terms:
210 + -1x + -1x2 = -210 + 210 + x + -1x + x2 + -1x2

Combine like terms: -210 + 210 = 0
210 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
210 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
210 + -1x + -1x2 = 0 + x2 + -1x2
210 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
210 + -1x + -1x2 = 0

Factor a trinomial.
(14 + -1x)(15 + x) = 0

Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Solution
x = {14, -15}