x^2=870-x

Solution for x^2=870-x equation:

Simplifying
x2 = 870 + -1x

Solving
x2 = 870 + -1x

Solving for variable 'x'.

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

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

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-30, 29}