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

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


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

Remove parenthesis around (2x)
2x(3x + 2) = 170

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

Solving
4x + 6x2 = 170

Solving for variable 'x'.

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

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

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

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-5.666666667, 5}

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