2x^2+7x+3=-2

Solution for 2x^2+7x+3=-2 equation:

Simplifying
2x2 + 7x + 3 = -2

Reorder the terms:
3 + 7x + 2x2 = -2

Solving
3 + 7x + 2x2 = -2

Solving for variable 'x'.

Reorder the terms:
3 + 2 + 7x + 2x2 = -2 + 2

Combine like terms: 3 + 2 = 5
5 + 7x + 2x2 = -2 + 2

Combine like terms: -2 + 2 = 0
5 + 7x + 2x2 = 0

Factor a trinomial.
(5 + 2x)(1 + x) = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-2.5, -1}