2(3-7x)(10x+3)=0

Solution for 2(3-7x)(10x+3)=0 equation:

Simplifying
2(3 + -7x)(10x + 3) = 0

Reorder the terms:
2(3 + -7x)(3 + 10x) = 0

Multiply (3 + -7x) * (3 + 10x)
2(3(3 + 10x) + -7x * (3 + 10x)) = 0
2((3 * 3 + 10x * 3) + -7x * (3 + 10x)) = 0
2((9 + 30x) + -7x * (3 + 10x)) = 0
2(9 + 30x + (3 * -7x + 10x * -7x)) = 0
2(9 + 30x + (-21x + -70x2)) = 0

Combine like terms: 30x + -21x = 9x
2(9 + 9x + -70x2) = 0
(9 * 2 + 9x * 2 + -70x2 * 2) = 0
(18 + 18x + -140x2) = 0

Solving
18 + 18x + -140x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 9x + -70x2) = 0

Factor a trinomial.
2((3 + -7x)(3 + 10x)) = 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 + 10x)' equal to zero and attempt to solve:

Simplifying
3 + 10x = 0

Solving
3 + 10x = 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 + 10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 0 + -3
10x = 0 + -3

Combine like terms: 0 + -3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3
Solution
x = {0.4285714286, -0.3}