3x(x+5)-2(x+6)=-16

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Solution for 3x(x+5)-2(x+6)=-16 equation: 


Simplifying
3x(x + 5) + -2(x + 6) = -16

Reorder the terms:
3x(5 + x) + -2(x + 6) = -16
(5 * 3x + x * 3x) + -2(x + 6) = -16
(15x + 3x2) + -2(x + 6) = -16

Reorder the terms:
15x + 3x2 + -2(6 + x) = -16
15x + 3x2 + (6 * -2 + x * -2) = -16
15x + 3x2 + (-12 + -2x) = -16

Reorder the terms:
-12 + 15x + -2x + 3x2 = -16

Combine like terms: 15x + -2x = 13x
-12 + 13x + 3x2 = -16

Solving
-12 + 13x + 3x2 = -16

Solving for variable 'x'.

Reorder the terms:
-12 + 16 + 13x + 3x2 = -16 + 16

Combine like terms: -12 + 16 = 4
4 + 13x + 3x2 = -16 + 16

Combine like terms: -16 + 16 = 0
4 + 13x + 3x2 = 0

Factor a trinomial.
(4 + x)(1 + 3x) = 0


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-4, -0.3333333333}

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