x^2=870+x

Solution for x^2=870+x equation:

Simplifying
x2 = 870 + x

Solving
x2 = 870 + x

Solving for variable 'x'.

Reorder the terms:
-870 + -1x + x2 = 870 + x + -870 + -1x

Reorder the terms:
-870 + -1x + x2 = 870 + -870 + x + -1x

Combine like terms: 870 + -870 = 0
-870 + -1x + x2 = 0 + x + -1x
-870 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
-870 + -1x + x2 = 0

Factor a trinomial.
(-29 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve:

Simplifying
-29 + -1x = 0

Solving
-29 + -1x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -1x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -1x = 0 + 29
-1x = 0 + 29

Combine like terms: 0 + 29 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-29, 30}