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

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

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

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

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

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

Combine like terms: 21x + 10x = 31x
2(30 + 31x + 7x2) = 0
(30 * 2 + 31x * 2 + 7x2 * 2) = 0
(60 + 62x + 14x2) = 0

Solving
60 + 62x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 31x + 7x2) = 0

Factor a trinomial.
2((3 + x)(10 + 7x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429
Solution
x = {-3, -1.428571429}