x^2+58x+840=0

Solution for x^2+58x+840=0 equation:

Simplifying
x2 + 58x + 840 = 0

Reorder the terms:
840 + 58x + x2 = 0

Solving
840 + 58x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(30 + x)(28 + x) = 0

Subproblem 1
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 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 + x = 0 + -30

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

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

Simplifying
x = -30
Subproblem 2
Set the factor '(28 + x)' equal to zero and attempt to solve:

Simplifying
28 + x = 0

Solving
28 + x = 0

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

Add '-28' to each side of the equation.
28 + -28 + x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + x = 0 + -28
x = 0 + -28

Combine like terms: 0 + -28 = -28
x = -28

Simplifying
x = -28
Solution
x = {-30, -28}