(7x-4)(2x-1)=33

Solution for (7x-4)(2x-1)=33 equation:

Simplifying
(7x + -4)(2x + -1) = 33

Reorder the terms:
(-4 + 7x)(2x + -1) = 33

Reorder the terms:
(-4 + 7x)(-1 + 2x) = 33

Multiply (-4 + 7x) * (-1 + 2x)
(-4(-1 + 2x) + 7x * (-1 + 2x)) = 33
((-1 * -4 + 2x * -4) + 7x * (-1 + 2x)) = 33
((4 + -8x) + 7x * (-1 + 2x)) = 33
(4 + -8x + (-1 * 7x + 2x * 7x)) = 33
(4 + -8x + (-7x + 14x2)) = 33

Combine like terms: -8x + -7x = -15x
(4 + -15x + 14x2) = 33

Solving
4 + -15x + 14x2 = 33

Solving for variable 'x'.

Reorder the terms:
4 + -33 + -15x + 14x2 = 33 + -33

Combine like terms: 4 + -33 = -29
-29 + -15x + 14x2 = 33 + -33

Combine like terms: 33 + -33 = 0
-29 + -15x + 14x2 = 0

Factor a trinomial.
(-1 + -1x)(29 + -14x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(29 + -14x)' equal to zero and attempt to solve:

Simplifying
29 + -14x = 0

Solving
29 + -14x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -14x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -14x = 0 + -29
-14x = 0 + -29

Combine like terms: 0 + -29 = -29
-14x = -29

Divide each side by '-14'.
x = 2.071428571

Simplifying
x = 2.071428571
Solution
x = {-1, 2.071428571}