48=16x^2-32x

Solution for 48=16x^2-32x equation:

Simplifying
48 = 16x2 + -32x

Reorder the terms:
48 = -32x + 16x2

Solving
48 = -32x + 16x2

Solving for variable 'x'.

Reorder the terms:
48 + 32x + -16x2 = -32x + 32x + 16x2 + -16x2

Combine like terms: -32x + 32x = 0
48 + 32x + -16x2 = 0 + 16x2 + -16x2
48 + 32x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
48 + 32x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + 2x + -1x2) = 0

Factor a trinomial.
16((3 + -1x)(1 + x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {3, -1}