12=-20x-7x^2

Solution for 12=-20x-7x^2 equation:

Simplifying
12 = -20x + -7x2

Solving
12 = -20x + -7x2

Solving for variable 'x'.

Reorder the terms:
12 + 20x + 7x2 = -20x + 20x + -7x2 + 7x2

Combine like terms: -20x + 20x = 0
12 + 20x + 7x2 = 0 + -7x2 + 7x2
12 + 20x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
12 + 20x + 7x2 = 0

Factor a trinomial.
(2 + x)(6 + 7x) = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

Solving
6 + 7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {-2, -0.8571428571}