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

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


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

Reorder the terms:
(1 + 2x)(3x + 4) = 4

Reorder the terms:
(1 + 2x)(4 + 3x) = 4

Multiply (1 + 2x) * (4 + 3x)
(1(4 + 3x) + 2x * (4 + 3x)) = 4
((4 * 1 + 3x * 1) + 2x * (4 + 3x)) = 4
((4 + 3x) + 2x * (4 + 3x)) = 4
(4 + 3x + (4 * 2x + 3x * 2x)) = 4
(4 + 3x + (8x + 6x2)) = 4

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

Add '-4' to each side of the equation.
4 + 11x + -4 + 6x2 = 4 + -4

Reorder the terms:
4 + -4 + 11x + 6x2 = 4 + -4

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

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

Solving
11x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 6x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 6x)' equal to zero and attempt to solve:

Simplifying
11 + 6x = 0

Solving
11 + 6x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 6x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 0 + -11
6x = 0 + -11

Combine like terms: 0 + -11 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333
Solution
x = {0, -1.833333333}

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