(-2x+8)(-6x-5)=

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Solution for (-2x+8)(-6x-5)= equation: 


Simplifying
(-2x + 8)(-6x + -5) = 0

Reorder the terms:
(8 + -2x)(-6x + -5) = 0

Reorder the terms:
(8 + -2x)(-5 + -6x) = 0

Multiply (8 + -2x) * (-5 + -6x)
(8(-5 + -6x) + -2x * (-5 + -6x)) = 0
((-5 * 8 + -6x * 8) + -2x * (-5 + -6x)) = 0
((-40 + -48x) + -2x * (-5 + -6x)) = 0
(-40 + -48x + (-5 * -2x + -6x * -2x)) = 0
(-40 + -48x + (10x + 12x2)) = 0

Combine like terms: -48x + 10x = -38x
(-40 + -38x + 12x2) = 0

Solving
-40 + -38x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -19x + 6x2) = 0

Factor a trinomial.
2((-5 + -6x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.8333333333, 4}

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