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

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

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

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

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

Multiply (-2 + 7x) * (3 + 3x)
(-2(3 + 3x) + 7x * (3 + 3x)) = 0
((3 * -2 + 3x * -2) + 7x * (3 + 3x)) = 0
((-6 + -6x) + 7x * (3 + 3x)) = 0
(-6 + -6x + (3 * 7x + 3x * 7x)) = 0
(-6 + -6x + (21x + 21x2)) = 0

Combine like terms: -6x + 21x = 15x
(-6 + 15x + 21x2) = 0

Solving
-6 + 15x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 5x + 7x2) = 0

Factor a trinomial.
3((-1 + -1x)(2 + -7x)) = 0

Ignore the factor 3.
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 '(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
Solution
x = {-1, 0.2857142857}