4x(3x+7)+3x+7=

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Solution for 4x(3x+7)+3x+7= equation: 


Simplifying
4x(3x + 7) + 3x + 7 = 0

Reorder the terms:
4x(7 + 3x) + 3x + 7 = 0
(7 * 4x + 3x * 4x) + 3x + 7 = 0
(28x + 12x2) + 3x + 7 = 0

Reorder the terms:
7 + 28x + 3x + 12x2 = 0

Combine like terms: 28x + 3x = 31x
7 + 31x + 12x2 = 0

Solving
7 + 31x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(1 + 4x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

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

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

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-2.333333333, -0.25}

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