x^2+33x=4698

Solution for x^2+33x=4698 equation:

Simplifying
x2 + 33x = 4698

Reorder the terms:
33x + x2 = 4698

Solving
33x + x2 = 4698

Solving for variable 'x'.

Reorder the terms:
-4698 + 33x + x2 = 4698 + -4698

Combine like terms: 4698 + -4698 = 0
-4698 + 33x + x2 = 0

Factor a trinomial.
(-87 + -1x)(54 + -1x) = 0

Subproblem 1
Set the factor '(-87 + -1x)' equal to zero and attempt to solve:

Simplifying
-87 + -1x = 0

Solving
-87 + -1x = 0

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

Add '87' to each side of the equation.
-87 + 87 + -1x = 0 + 87

Combine like terms: -87 + 87 = 0
0 + -1x = 0 + 87
-1x = 0 + 87

Combine like terms: 0 + 87 = 87
-1x = 87

Divide each side by '-1'.
x = -87

Simplifying
x = -87
Subproblem 2
Set the factor '(54 + -1x)' equal to zero and attempt to solve:

Simplifying
54 + -1x = 0

Solving
54 + -1x = 0

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

Add '-54' to each side of the equation.
54 + -54 + -1x = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = 0 + -54
-1x = 0 + -54

Combine like terms: 0 + -54 = -54
-1x = -54

Divide each side by '-1'.
x = 54

Simplifying
x = 54
Solution
x = {-87, 54}