2x^2-16x=1536

Solution for 2x^2-16x=1536 equation:

Simplifying
2x2 + -16x = 1536

Reorder the terms:
-16x + 2x2 = 1536

Solving
-16x + 2x2 = 1536

Solving for variable 'x'.

Reorder the terms:
-1536 + -16x + 2x2 = 1536 + -1536

Combine like terms: 1536 + -1536 = 0
-1536 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-768 + -8x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(32 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-24, 32}