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

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


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

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

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

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

Combine like terms: -6x + 21x = 15x
(-7 + 15x + 18x2) = 0

Solving
-7 + 15x + 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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