2=2x^2+5x-1

Solution for 2=2x^2+5x-1 equation:

Simplifying
2 = 2x2 + 5x + -1

Reorder the terms:
2 = -1 + 5x + 2x2

Solving
2 = -1 + 5x + 2x2

Solving for variable 'x'.

Combine like terms: 2 + 1 = 3
3 + -5x + -2x2 = -1 + 5x + 2x2 + 1 + -5x + -2x2

Reorder the terms:
3 + -5x + -2x2 = -1 + 1 + 5x + -5x + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
3 + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
3 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
3 + -5x + -2x2 = 0 + 2x2 + -2x2
3 + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -5x + -2x2 = 0

Factor a trinomial.
(1 + -2x)(3 + x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {0.5, -3}