(x-335)(x-400)=0

Solution for (x-335)(x-400)=0 equation:

Simplifying
(x + -335)(x + -400) = 0

Reorder the terms:
(-335 + x)(x + -400) = 0

Reorder the terms:
(-335 + x)(-400 + x) = 0

Multiply (-335 + x) * (-400 + x)
(-335(-400 + x) + x(-400 + x)) = 0
((-400 * -335 + x * -335) + x(-400 + x)) = 0
((134000 + -335x) + x(-400 + x)) = 0
(134000 + -335x + (-400 * x + x * x)) = 0
(134000 + -335x + (-400x + x2)) = 0

Combine like terms: -335x + -400x = -735x
(134000 + -735x + x2) = 0

Solving
134000 + -735x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(335 + -1x)(400 + -1x) = 0

Subproblem 1
Set the factor '(335 + -1x)' equal to zero and attempt to solve:

Simplifying
335 + -1x = 0

Solving
335 + -1x = 0

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

Add '-335' to each side of the equation.
335 + -335 + -1x = 0 + -335

Combine like terms: 335 + -335 = 0
0 + -1x = 0 + -335
-1x = 0 + -335

Combine like terms: 0 + -335 = -335
-1x = -335

Divide each side by '-1'.
x = 335

Simplifying
x = 335
Subproblem 2
Set the factor '(400 + -1x)' equal to zero and attempt to solve:

Simplifying
400 + -1x = 0

Solving
400 + -1x = 0

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

Add '-400' to each side of the equation.
400 + -400 + -1x = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1x = 0 + -400
-1x = 0 + -400

Combine like terms: 0 + -400 = -400
-1x = -400

Divide each side by '-1'.
x = 400

Simplifying
x = 400
Solution
x = {335, 400}