48=(4x-16)(x)

Solution for 48=(4x-16)(x) equation:

Simplifying
48 = (4x + -16)(x)

Reorder the terms:
48 = (-16 + 4x)(x)

Reorder the terms for easier multiplication:
48 = x(-16 + 4x)
48 = (-16 * x + 4x * x)
48 = (-16x + 4x2)

Solving
48 = -16x + 4x2

Solving for variable 'x'.

Reorder the terms:
48 + 16x + -4x2 = -16x + 16x + 4x2 + -4x2

Combine like terms: -16x + 16x = 0
48 + 16x + -4x2 = 0 + 4x2 + -4x2
48 + 16x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
48 + 16x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + 4x + -1x2) = 0

Factor a trinomial.
4((6 + -1x)(2 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {6, -2}