(7x-3)(-2x-6)=

Solution for (7x-3)(-2x-6)= equation:

Simplifying
(7x + -3)(-2x + -6) = 0

Reorder the terms:
(-3 + 7x)(-2x + -6) = 0

Reorder the terms:
(-3 + 7x)(-6 + -2x) = 0

Multiply (-3 + 7x) * (-6 + -2x)
(-3(-6 + -2x) + 7x * (-6 + -2x)) = 0
((-6 * -3 + -2x * -3) + 7x * (-6 + -2x)) = 0
((18 + 6x) + 7x * (-6 + -2x)) = 0
(18 + 6x + (-6 * 7x + -2x * 7x)) = 0
(18 + 6x + (-42x + -14x2)) = 0

Combine like terms: 6x + -42x = -36x
(18 + -36x + -14x2) = 0

Solving
18 + -36x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -18x + -7x2) = 0

Factor a trinomial.
2((3 + -7x)(3 + x)) = 0

Ignore the factor 2.
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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0.4285714286, -3}