0=144x-16x^2-128

Solution for 0=144x-16x^2-128 equation:

Simplifying
0 = 144x + -16x2 + -128

Reorder the terms:
0 = -128 + 144x + -16x2

Solving
0 = -128 + 144x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + 128 = 128
128 + -144x + 16x2 = -128 + 144x + -16x2 + 128 + -144x + 16x2

Reorder the terms:
128 + -144x + 16x2 = -128 + 128 + 144x + -144x + -16x2 + 16x2

Combine like terms: -128 + 128 = 0
128 + -144x + 16x2 = 0 + 144x + -144x + -16x2 + 16x2
128 + -144x + 16x2 = 144x + -144x + -16x2 + 16x2

Combine like terms: 144x + -144x = 0
128 + -144x + 16x2 = 0 + -16x2 + 16x2
128 + -144x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
128 + -144x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(8 + -9x + x2) = 0

Factor a trinomial.
16((1 + -1x)(8 + -1x)) = 0

Ignore the factor 16.
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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {1, 8}