x(x+2)=1295

Solution for x(x+2)=1295 equation:

Simplifying
x(x + 2) = 1295

Reorder the terms:
x(2 + x) = 1295
(2 * x + x * x) = 1295
(2x + x2) = 1295

Solving
2x + x2 = 1295

Solving for variable 'x'.

Reorder the terms:
-1295 + 2x + x2 = 1295 + -1295

Combine like terms: 1295 + -1295 = 0
-1295 + 2x + x2 = 0

Factor a trinomial.
(-37 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {-37, 35}