(3x-8)(3x-5)=0

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


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

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

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

Multiply (-8 + 3x) * (-5 + 3x)
(-8(-5 + 3x) + 3x * (-5 + 3x)) = 0
((-5 * -8 + 3x * -8) + 3x * (-5 + 3x)) = 0
((40 + -24x) + 3x * (-5 + 3x)) = 0
(40 + -24x + (-5 * 3x + 3x * 3x)) = 0
(40 + -24x + (-15x + 9x2)) = 0

Combine like terms: -24x + -15x = -39x
(40 + -39x + 9x2) = 0

Solving
40 + -39x + 9x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {1.666666667, 2.666666667}

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