2(X)(X)+7(X)=-3

Solution for 2(X)(X)+7(X)=-3 equation:

Simplifying
2(X)(X) + 7(X) = -3

Multiply X * X
2X2 + 7(X) = -3

Reorder the terms:
7X + 2X2 = -3

Solving
7X + 2X2 = -3

Solving for variable 'X'.

Reorder the terms:
3 + 7X + 2X2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 7X + 2X2 = 0

Factor a trinomial.
(3 + X)(1 + 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 '(1 + 2X)' equal to zero and attempt to solve:

Simplifying
1 + 2X = 0

Solving
1 + 2X = 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 + 2X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2X = 0 + -1
2X = 0 + -1

Combine like terms: 0 + -1 = -1
2X = -1

Divide each side by '2'.
X = -0.5

Simplifying
X = -0.5
Solution
X = {-3, -0.5}