x^2-16x+48=33

Solution for x^2-16x+48=33 equation:

Simplifying
x2 + -16x + 48 = 33

Reorder the terms:
48 + -16x + x2 = 33

Solving
48 + -16x + x2 = 33

Solving for variable 'x'.

Reorder the terms:
48 + -33 + -16x + x2 = 33 + -33

Combine like terms: 48 + -33 = 15
15 + -16x + x2 = 33 + -33

Combine like terms: 33 + -33 = 0
15 + -16x + x2 = 0

Factor a trinomial.
(1 + -1x)(15 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {1, 15}