x^2+x=4830

Solution for x^2+x=4830 equation:

Simplifying
x2 + x = 4830

Reorder the terms:
x + x2 = 4830

Solving
x + x2 = 4830

Solving for variable 'x'.

Reorder the terms:
-4830 + x + x2 = 4830 + -4830

Combine like terms: 4830 + -4830 = 0
-4830 + x + x2 = 0

Factor a trinomial.
(-70 + -1x)(69 + -1x) = 0

Subproblem 1
Set the factor '(-70 + -1x)' equal to zero and attempt to solve:

Simplifying
-70 + -1x = 0

Solving
-70 + -1x = 0

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

Add '70' to each side of the equation.
-70 + 70 + -1x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -1x = 0 + 70
-1x = 0 + 70

Combine like terms: 0 + 70 = 70
-1x = 70

Divide each side by '-1'.
x = -70

Simplifying
x = -70
Subproblem 2
Set the factor '(69 + -1x)' equal to zero and attempt to solve:

Simplifying
69 + -1x = 0

Solving
69 + -1x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -1x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1x = 0 + -69
-1x = 0 + -69

Combine like terms: 0 + -69 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69
Solution
x = {-70, 69}