(x+8)(3x-2)=0

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Solution for (x+8)(3x-2)=0 equation: 


Simplifying
(x + 8)(3x + -2) = 0

Reorder the terms:
(8 + x)(3x + -2) = 0

Reorder the terms:
(8 + x)(-2 + 3x) = 0

Multiply (8 + x) * (-2 + 3x)
(8(-2 + 3x) + x(-2 + 3x)) = 0
((-2 * 8 + 3x * 8) + x(-2 + 3x)) = 0
((-16 + 24x) + x(-2 + 3x)) = 0
(-16 + 24x + (-2 * x + 3x * x)) = 0
(-16 + 24x + (-2x + 3x2)) = 0

Combine like terms: 24x + -2x = 22x
(-16 + 22x + 3x2) = 0

Solving
-16 + 22x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-8 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-8, 0.6666666667}

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