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

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

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

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

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

Combine like terms: -21x + 2x = -19x
(6 + -19x + -7x2) = 0

Solving
6 + -19x + -7x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {0.2857142857, -3}