170=(3x+2)2x

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Solution for 170=(3x+2)2x equation: 


Simplifying
170 = (3x + 2) * 2x

Reorder the terms:
170 = (2 + 3x) * 2x

Reorder the terms for easier multiplication:
170 = 2x(2 + 3x)
170 = (2 * 2x + 3x * 2x)
170 = (4x + 6x2)

Solving
170 = 4x + 6x2

Solving for variable 'x'.

Reorder the terms:
170 + -4x + -6x2 = 4x + -4x + 6x2 + -6x2

Combine like terms: 4x + -4x = 0
170 + -4x + -6x2 = 0 + 6x2 + -6x2
170 + -4x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
170 + -4x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(85 + -2x + -3x2) = 0

Factor a trinomial.
2((5 + -1x)(17 + 3x)) = 0

Ignore the factor 2.

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(17 + 3x)' equal to zero and attempt to solve:

Simplifying
17 + 3x = 0

Solving
17 + 3x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 0 + -17
3x = 0 + -17

Combine like terms: 0 + -17 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667
Solution
x = {5, -5.666666667}

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