(8x+4)(-x+6)=

Solution for (8x+4)(-x+6)= equation:

Simplifying
(8x + 4)(-1x + 6) = 0

Reorder the terms:
(4 + 8x)(-1x + 6) = 0

Reorder the terms:
(4 + 8x)(6 + -1x) = 0

Multiply (4 + 8x) * (6 + -1x)
(4(6 + -1x) + 8x * (6 + -1x)) = 0
((6 * 4 + -1x * 4) + 8x * (6 + -1x)) = 0
((24 + -4x) + 8x * (6 + -1x)) = 0
(24 + -4x + (6 * 8x + -1x * 8x)) = 0
(24 + -4x + (48x + -8x2)) = 0

Combine like terms: -4x + 48x = 44x
(24 + 44x + -8x2) = 0

Solving
24 + 44x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 11x + -2x2) = 0

Factor a trinomial.
4((6 + -1x)(1 + 2x)) = 0

Ignore the factor 4.
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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

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

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {6, -0.5}