(x-48)(x-13)=

Solution for (x-48)(x-13)= equation:

Simplifying
(x + -48)(x + -13) = 0

Reorder the terms:
(-48 + x)(x + -13) = 0

Reorder the terms:
(-48 + x)(-13 + x) = 0

Multiply (-48 + x) * (-13 + x)
(-48(-13 + x) + x(-13 + x)) = 0
((-13 * -48 + x * -48) + x(-13 + x)) = 0
((624 + -48x) + x(-13 + x)) = 0
(624 + -48x + (-13 * x + x * x)) = 0
(624 + -48x + (-13x + x2)) = 0

Combine like terms: -48x + -13x = -61x
(624 + -61x + x2) = 0

Solving
624 + -61x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + -1x)(48 + -1x) = 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 '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Solution
x = {13, 48}