x(x+10)=875

Solution for x(x+10)=875 equation:

Simplifying
x(x + 10) = 875

Reorder the terms:
x(10 + x) = 875
(10 * x + x * x) = 875
(10x + x2) = 875

Solving
10x + x2 = 875

Solving for variable 'x'.

Reorder the terms:
-875 + 10x + x2 = 875 + -875

Combine like terms: 875 + -875 = 0
-875 + 10x + x2 = 0

Factor a trinomial.
(-35 + -1x)(25 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

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

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

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {-35, 25}