48=4x(x-1)

Solution for 48=4x(x-1) equation:

Simplifying
48 = 4x(x + -1)

Reorder the terms:
48 = 4x(-1 + x)
48 = (-1 * 4x + x * 4x)
48 = (-4x + 4x2)

Solving
48 = -4x + 4x2

Solving for variable 'x'.

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

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

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

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

Factor a trinomial.
4((4 + -1x)(3 + x)) = 0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {4, -3}