(x+1)(x+2)=210

Solution for (x+1)(x+2)=210 equation:

Simplifying
(x + 1)(x + 2) = 210

Reorder the terms:
(1 + x)(x + 2) = 210

Reorder the terms:
(1 + x)(2 + x) = 210

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) = 210
((2 * 1 + x * 1) + x(2 + x)) = 210
((2 + 1x) + x(2 + x)) = 210
(2 + 1x + (2 * x + x * x)) = 210
(2 + 1x + (2x + x2)) = 210

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) = 210

Solving
2 + 3x + x2 = 210

Solving for variable 'x'.

Reorder the terms:
2 + -210 + 3x + x2 = 210 + -210

Combine like terms: 2 + -210 = -208
-208 + 3x + x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-208 + 3x + x2 = 0

Factor a trinomial.
(-16 + -1x)(13 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-16, 13}