(7x-2)(11x-34)=

Solution for (7x-2)(11x-34)= equation:

Simplifying
(7x + -2)(11x + -34) = 0

Reorder the terms:
(-2 + 7x)(11x + -34) = 0

Reorder the terms:
(-2 + 7x)(-34 + 11x) = 0

Multiply (-2 + 7x) * (-34 + 11x)
(-2(-34 + 11x) + 7x * (-34 + 11x)) = 0
((-34 * -2 + 11x * -2) + 7x * (-34 + 11x)) = 0
((68 + -22x) + 7x * (-34 + 11x)) = 0
(68 + -22x + (-34 * 7x + 11x * 7x)) = 0
(68 + -22x + (-238x + 77x2)) = 0

Combine like terms: -22x + -238x = -260x
(68 + -260x + 77x2) = 0

Solving
68 + -260x + 77x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(34 + -11x) = 0

Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Subproblem 2
Set the factor '(34 + -11x)' equal to zero and attempt to solve:

Simplifying
34 + -11x = 0

Solving
34 + -11x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -11x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -11x = 0 + -34
-11x = 0 + -34

Combine like terms: 0 + -34 = -34
-11x = -34

Divide each side by '-11'.
x = 3.090909091

Simplifying
x = 3.090909091
Solution
x = {0.2857142857, 3.090909091}