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

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

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

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

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

Multiply (-6 + 7x) * (-3 + 7x)
(-6(-3 + 7x) + 7x * (-3 + 7x)) = 0
((-3 * -6 + 7x * -6) + 7x * (-3 + 7x)) = 0
((18 + -42x) + 7x * (-3 + 7x)) = 0
(18 + -42x + (-3 * 7x + 7x * 7x)) = 0
(18 + -42x + (-21x + 49x2)) = 0

Combine like terms: -42x + -21x = -63x
(18 + -63x + 49x2) = 0

Solving
18 + -63x + 49x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Subproblem 2
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
Solution
x = {0.4285714286, 0.8571428571}