2x^2-11x+3=-2

Solution for 2x^2-11x+3=-2 equation:

Simplifying
2x2 + -11x + 3 = -2

Reorder the terms:
3 + -11x + 2x2 = -2

Solving
3 + -11x + 2x2 = -2

Solving for variable 'x'.

Reorder the terms:
3 + 2 + -11x + 2x2 = -2 + 2

Combine like terms: 3 + 2 = 5
5 + -11x + 2x2 = -2 + 2

Combine like terms: -2 + 2 = 0
5 + -11x + 2x2 = 0

Factor a trinomial.
(1 + -2x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.5, 5}