(3x^2-7x-6)+(3x+2)=

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Solution for (3x^2-7x-6)+(3x+2)= equation: 


Simplifying
(3x2 + -7x + -6) + (3x + 2) = 0

Reorder the terms:
(-6 + -7x + 3x2) + (3x + 2) = 0

Remove parenthesis around (-6 + -7x + 3x2)
-6 + -7x + 3x2 + (3x + 2) = 0

Reorder the terms:
-6 + -7x + 3x2 + (2 + 3x) = 0

Remove parenthesis around (2 + 3x)
-6 + -7x + 3x2 + 2 + 3x = 0

Reorder the terms:
-6 + 2 + -7x + 3x + 3x2 = 0

Combine like terms: -6 + 2 = -4
-4 + -7x + 3x + 3x2 = 0

Combine like terms: -7x + 3x = -4x
-4 + -4x + 3x2 = 0

Solving
-4 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.6666666667, 2}

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