(x-30)(x-144)=0

Solution for (x-30)(x-144)=0 equation:

Simplifying
(x + -30)(x + -144) = 0

Reorder the terms:
(-30 + x)(x + -144) = 0

Reorder the terms:
(-30 + x)(-144 + x) = 0

Multiply (-30 + x) * (-144 + x)
(-30(-144 + x) + x(-144 + x)) = 0
((-144 * -30 + x * -30) + x(-144 + x)) = 0
((4320 + -30x) + x(-144 + x)) = 0
(4320 + -30x + (-144 * x + x * x)) = 0
(4320 + -30x + (-144x + x2)) = 0

Combine like terms: -30x + -144x = -174x
(4320 + -174x + x2) = 0

Solving
4320 + -174x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(30 + -1x)(144 + -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 '(144 + -1x)' equal to zero and attempt to solve:

Simplifying
144 + -1x = 0

Solving
144 + -1x = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1x = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1x = 0 + -144
-1x = 0 + -144

Combine like terms: 0 + -144 = -144
-1x = -144

Divide each side by '-1'.
x = 144

Simplifying
x = 144
Solution
x = {30, 144}