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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

Subproblem 1
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 2
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 = {6, -8}