(-8x+5)*(-3)x-6*(-8x+5)=0

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Solution for (-8x+5)*(-3)x-6*(-8x+5)=0 equation: 


Simplifying
(-8x + 5)(-3) * x + -6(-8x + 5) = 0

Reorder the terms:
(5 + -8x)(-3) * x + -6(-8x + 5) = 0

Reorder the terms for easier multiplication:
-3x(5 + -8x) + -6(-8x + 5) = 0
(5 * -3x + -8x * -3x) + -6(-8x + 5) = 0
(-15x + 24x2) + -6(-8x + 5) = 0

Reorder the terms:
-15x + 24x2 + -6(5 + -8x) = 0
-15x + 24x2 + (5 * -6 + -8x * -6) = 0
-15x + 24x2 + (-30 + 48x) = 0

Reorder the terms:
-30 + -15x + 48x + 24x2 = 0

Combine like terms: -15x + 48x = 33x
-30 + 33x + 24x2 = 0

Solving
-30 + 33x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 11x + 8x2) = 0

Factor a trinomial.
3((-2 + -1x)(5 + -8x)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {-2, 0.625}

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