(6x+1)(3x+7)=

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Solution for (6x+1)(3x+7)= equation: 


Simplifying
(6x + 1)(3x + 7) = 0

Reorder the terms:
(1 + 6x)(3x + 7) = 0

Reorder the terms:
(1 + 6x)(7 + 3x) = 0

Multiply (1 + 6x) * (7 + 3x)
(1(7 + 3x) + 6x * (7 + 3x)) = 0
((7 * 1 + 3x * 1) + 6x * (7 + 3x)) = 0
((7 + 3x) + 6x * (7 + 3x)) = 0
(7 + 3x + (7 * 6x + 3x * 6x)) = 0
(7 + 3x + (42x + 18x2)) = 0

Combine like terms: 3x + 42x = 45x
(7 + 45x + 18x2) = 0

Solving
7 + 45x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(1 + 6x) = 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 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-2.333333333, -0.1666666667}

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