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

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


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

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

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

Multiply (-7 + -6x) * (-1 + -3x)
(-7(-1 + -3x) + -6x * (-1 + -3x)) = 0
((-1 * -7 + -3x * -7) + -6x * (-1 + -3x)) = 0
((7 + 21x) + -6x * (-1 + -3x)) = 0
(7 + 21x + (-1 * -6x + -3x * -6x)) = 0
(7 + 21x + (6x + 18x2)) = 0

Combine like terms: 21x + 6x = 27x
(7 + 27x + 18x2) = 0

Solving
7 + 27x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(1 + 3x) = 0


Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-1.166666667, -0.3333333333}

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