(x)(x-5)=546

Solution for (x)(x-5)=546 equation:

Simplifying
(x)(x + -5) = 546

Reorder the terms:
x(-5 + x) = 546
(-5 * x + x * x) = 546
(-5x + x2) = 546

Solving
-5x + x2 = 546

Solving for variable 'x'.

Reorder the terms:
-546 + -5x + x2 = 546 + -546

Combine like terms: 546 + -546 = 0
-546 + -5x + x2 = 0

Factor a trinomial.
(-21 + -1x)(26 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {-21, 26}