(x)(x-18)=4960

Solution for (x)(x-18)=4960 equation:

Simplifying
(x)(x + -18) = 4960

Reorder the terms:
x(-18 + x) = 4960
(-18 * x + x * x) = 4960
(-18x + x2) = 4960

Solving
-18x + x2 = 4960

Solving for variable 'x'.

Reorder the terms:
-4960 + -18x + x2 = 4960 + -4960

Combine like terms: 4960 + -4960 = 0
-4960 + -18x + x2 = 0

Factor a trinomial.
(-62 + -1x)(80 + -1x) = 0

Subproblem 1
Set the factor '(-62 + -1x)' equal to zero and attempt to solve:

Simplifying
-62 + -1x = 0

Solving
-62 + -1x = 0

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

Add '62' to each side of the equation.
-62 + 62 + -1x = 0 + 62

Combine like terms: -62 + 62 = 0
0 + -1x = 0 + 62
-1x = 0 + 62

Combine like terms: 0 + 62 = 62
-1x = 62

Divide each side by '-1'.
x = -62

Simplifying
x = -62
Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-62, 80}