2=-11x^2+13x

Solution for 2=-11x^2+13x equation:

Simplifying
2 = -11x2 + 13x

Reorder the terms:
2 = 13x + -11x2

Solving
2 = 13x + -11x2

Solving for variable 'x'.

Reorder the terms:
2 + -13x + 11x2 = 13x + -13x + -11x2 + 11x2

Combine like terms: 13x + -13x = 0
2 + -13x + 11x2 = 0 + -11x2 + 11x2
2 + -13x + 11x2 = -11x2 + 11x2

Combine like terms: -11x2 + 11x2 = 0
2 + -13x + 11x2 = 0

Factor a trinomial.
(2 + -11x)(1 + -1x) = 0

Subproblem 1
Set the factor '(2 + -11x)' equal to zero and attempt to solve:

Simplifying
2 + -11x = 0

Solving
2 + -11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11x = 0 + -2

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

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

Divide each side by '-11'.
x = 0.1818181818

Simplifying
x = 0.1818181818
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.1818181818, 1}