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

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

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

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

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

Multiply (3 + x) * (10 + 2x)
(3(10 + 2x) + x(10 + 2x)) = 0
((10 * 3 + 2x * 3) + x(10 + 2x)) = 0
((30 + 6x) + x(10 + 2x)) = 0
(30 + 6x + (10 * x + 2x * x)) = 0
(30 + 6x + (10x + 2x2)) = 0

Combine like terms: 6x + 10x = 16x
(30 + 16x + 2x2) = 0

Solving
30 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8x + x2) = 0

Factor a trinomial.
2((5 + x)(3 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
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 = {-5, -3}