2x^2+3x-1=-1

Solution for 2x^2+3x-1=-1 equation:

Simplifying
2x2 + 3x + -1 = -1

Reorder the terms:
-1 + 3x + 2x2 = -1

Add '1' to each side of the equation.
-1 + 3x + 1 + 2x2 = -1 + 1

Reorder the terms:
-1 + 1 + 3x + 2x2 = -1 + 1

Combine like terms: -1 + 1 = 0
0 + 3x + 2x2 = -1 + 1
3x + 2x2 = -1 + 1

Combine like terms: -1 + 1 = 0
3x + 2x2 = 0

Solving
3x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 2x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}