2x(3x+4)+1(3x+4)=

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Solution for 2x(3x+4)+1(3x+4)= equation: 


Simplifying
2x(3x + 4) + 1(3x + 4) = 0

Reorder the terms:
2x(4 + 3x) + 1(3x + 4) = 0
(4 * 2x + 3x * 2x) + 1(3x + 4) = 0
(8x + 6x2) + 1(3x + 4) = 0

Reorder the terms:
8x + 6x2 + 1(4 + 3x) = 0
8x + 6x2 + (4 * 1 + 3x * 1) = 0
8x + 6x2 + (4 + 3x) = 0

Reorder the terms:
4 + 8x + 3x + 6x2 = 0

Combine like terms: 8x + 3x = 11x
4 + 11x + 6x2 = 0

Solving
4 + 11x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + 3x)(1 + 2x) = 0


Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.333333333, -0.5}

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