-1x(x-6)(x+8)=0

Solution for -1x(x-6)(x+8)=0 equation:

Simplifying
-1x(x + -6)(x + 8) = 0

Reorder the terms:
-1x(-6 + x)(x + 8) = 0

Reorder the terms:
-1x(-6 + x)(8 + x) = 0

Multiply (-6 + x) * (8 + x)
-1x(-6(8 + x) + x(8 + x)) = 0
-1x((8 * -6 + x * -6) + x(8 + x)) = 0
-1x((-48 + -6x) + x(8 + x)) = 0
-1x(-48 + -6x + (8 * x + x * x)) = 0
-1x(-48 + -6x + (8x + x2)) = 0

Combine like terms: -6x + 8x = 2x
-1x(-48 + 2x + x2) = 0
(-48 * -1x + 2x * -1x + x2 * -1x) = 0
(48x + -2x2 + -1x3) = 0

Solving
48x + -2x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(48 + -2x + -1x2) = 0

Factor a trinomial.
x((6 + -1x)(8 + x)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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 3
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {0, 6, -8}