(x-7)x=1394

Solution for (x-7)x=1394 equation:

Simplifying
(x + -7) * x = 1394

Reorder the terms:
(-7 + x) * x = 1394

Reorder the terms for easier multiplication:
x(-7 + x) = 1394
(-7 * x + x * x) = 1394
(-7x + x2) = 1394

Solving
-7x + x2 = 1394

Solving for variable 'x'.

Reorder the terms:
-1394 + -7x + x2 = 1394 + -1394

Combine like terms: 1394 + -1394 = 0
-1394 + -7x + x2 = 0

Factor a trinomial.
(-34 + -1x)(41 + -1x) = 0

Subproblem 1
Set the factor '(-34 + -1x)' equal to zero and attempt to solve:

Simplifying
-34 + -1x = 0

Solving
-34 + -1x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -1x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -1x = 0 + 34
-1x = 0 + 34

Combine like terms: 0 + 34 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34
Subproblem 2
Set the factor '(41 + -1x)' equal to zero and attempt to solve:

Simplifying
41 + -1x = 0

Solving
41 + -1x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -1x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -1x = 0 + -41
-1x = 0 + -41

Combine like terms: 0 + -41 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41
Solution
x = {-34, 41}