(x+8)(-2x+6)=

Solution for (x+8)(-2x+6)= equation:

Simplifying
(x + 8)(-2x + 6) = 0

Reorder the terms:
(8 + x)(-2x + 6) = 0

Reorder the terms:
(8 + x)(6 + -2x) = 0

Multiply (8 + x) * (6 + -2x)
(8(6 + -2x) + x(6 + -2x)) = 0
((6 * 8 + -2x * 8) + x(6 + -2x)) = 0
((48 + -16x) + x(6 + -2x)) = 0
(48 + -16x + (6 * x + -2x * x)) = 0
(48 + -16x + (6x + -2x2)) = 0

Combine like terms: -16x + 6x = -10x
(48 + -10x + -2x2) = 0

Solving
48 + -10x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -5x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(8 + x)) = 0

Ignore the factor 2.
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 '(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 = {3, -8}