3x(3x+2)+2(7x+2)=

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


Simplifying
3x(3x + 2) + 2(7x + 2) = 0

Reorder the terms:
3x(2 + 3x) + 2(7x + 2) = 0
(2 * 3x + 3x * 3x) + 2(7x + 2) = 0
(6x + 9x2) + 2(7x + 2) = 0

Reorder the terms:
6x + 9x2 + 2(2 + 7x) = 0
6x + 9x2 + (2 * 2 + 7x * 2) = 0
6x + 9x2 + (4 + 14x) = 0

Reorder the terms:
4 + 6x + 14x + 9x2 = 0

Combine like terms: 6x + 14x = 20x
4 + 20x + 9x2 = 0

Solving
4 + 20x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x)(2 + 9x) = 0


Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(2 + 9x)' equal to zero and attempt to solve:

Simplifying
2 + 9x = 0

Solving
2 + 9x = 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 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222
Solution
x = {-2, -0.2222222222}

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