78=(x-7)x

Solution for 78=(x-7)x equation:

Simplifying
78 = (x + -7) * x

Reorder the terms:
78 = (-7 + x) * x

Reorder the terms for easier multiplication:
78 = x(-7 + x)
78 = (-7 * x + x * x)
78 = (-7x + x2)

Solving
78 = -7x + x2

Solving for variable 'x'.

Reorder the terms:
78 + 7x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
78 + 7x + -1x2 = 0 + x2 + -1x2
78 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
78 + 7x + -1x2 = 0

Factor a trinomial.
(13 + -1x)(6 + x) = 0

Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {13, -6}