3x(x-8)+16=2x

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Solution for 3x(x-8)+16=2x equation: 


Simplifying
3x(x + -8) + 16 = 2x

Reorder the terms:
3x(-8 + x) + 16 = 2x
(-8 * 3x + x * 3x) + 16 = 2x
(-24x + 3x2) + 16 = 2x

Reorder the terms:
16 + -24x + 3x2 = 2x

Solving
16 + -24x + 3x2 = 2x

Solving for variable 'x'.

Reorder the terms:
16 + -24x + -2x + 3x2 = 2x + -2x

Combine like terms: -24x + -2x = -26x
16 + -26x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -26x + 3x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.6666666667, 8}

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