2x(x+3)=-5x-15

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Solution for 2x(x+3)=-5x-15 equation: 


Simplifying
2x(x + 3) = -5x + -15

Reorder the terms:
2x(3 + x) = -5x + -15
(3 * 2x + x * 2x) = -5x + -15
(6x + 2x2) = -5x + -15

Reorder the terms:
6x + 2x2 = -15 + -5x

Solving
6x + 2x2 = -15 + -5x

Solving for variable 'x'.

Reorder the terms:
15 + 6x + 5x + 2x2 = -15 + -5x + 15 + 5x

Combine like terms: 6x + 5x = 11x
15 + 11x + 2x2 = -15 + -5x + 15 + 5x

Reorder the terms:
15 + 11x + 2x2 = -15 + 15 + -5x + 5x

Combine like terms: -15 + 15 = 0
15 + 11x + 2x2 = 0 + -5x + 5x
15 + 11x + 2x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
15 + 11x + 2x2 = 0

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


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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-3, -2.5}

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