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

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

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

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

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

Multiply (3 + x) * (10 + 3x)
(3(10 + 3x) + x(10 + 3x)) = 0
((10 * 3 + 3x * 3) + x(10 + 3x)) = 0
((30 + 9x) + x(10 + 3x)) = 0
(30 + 9x + (10 * x + 3x * x)) = 0
(30 + 9x + (10x + 3x2)) = 0

Combine like terms: 9x + 10x = 19x
(30 + 19x + 3x2) = 0

Solving
30 + 19x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

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

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
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 = {-3.333333333, -3}