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

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

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

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

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

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

Combine like terms: -7x + 18x = 11x
(-6 + 11x + 21x2) = 0

Solving
-6 + 11x + 21x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-6 + -7x = 0

Solving
-6 + -7x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7x = 0 + 6

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

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

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
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 = {-0.8571428571, 0.3333333333}