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

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

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

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

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

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

Combine like terms: 48x + 1x = 49x
(-6 + 49x + -8x2) = 0

Solving
-6 + 49x + -8x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 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 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {6, 0.125}