55(6x-6)(7x+1)=

Solution for 55(6x-6)(7x+1)= equation:

Simplifying
55(6x + -6)(7x + 1) = 0

Reorder the terms:
55(-6 + 6x)(7x + 1) = 0

Reorder the terms:
55(-6 + 6x)(1 + 7x) = 0

Multiply (-6 + 6x) * (1 + 7x)
55(-6(1 + 7x) + 6x * (1 + 7x)) = 0
55((1 * -6 + 7x * -6) + 6x * (1 + 7x)) = 0
55((-6 + -42x) + 6x * (1 + 7x)) = 0
55(-6 + -42x + (1 * 6x + 7x * 6x)) = 0
55(-6 + -42x + (6x + 42x2)) = 0

Combine like terms: -42x + 6x = -36x
55(-6 + -36x + 42x2) = 0
(-6 * 55 + -36x * 55 + 42x2 * 55) = 0
(-330 + -1980x + 2310x2) = 0

Solving
-330 + -1980x + 2310x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '330'.
330(-1 + -6x + 7x2) = 0

Factor a trinomial.
330((-1 + -7x)(1 + -1x)) = 0

Ignore the factor 330.
Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve:

Simplifying
-1 + -7x = 0

Solving
-1 + -7x = 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 + -7x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = 0 + 1
-7x = 0 + 1

Combine like terms: 0 + 1 = 1
-7x = 1

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.1428571429, 1}