-6=5x^2-11x

Solution for -6=5x^2-11x equation:

Simplifying
-6 = 5x2 + -11x

Reorder the terms:
-6 = -11x + 5x2

Solving
-6 = -11x + 5x2

Solving for variable 'x'.

Reorder the terms:
-6 + 11x + -5x2 = -11x + 11x + 5x2 + -5x2

Combine like terms: -11x + 11x = 0
-6 + 11x + -5x2 = 0 + 5x2 + -5x2
-6 + 11x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6 + 11x + -5x2 = 0

Factor a trinomial.
(-6 + 5x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-6 + 5x)' equal to zero and attempt to solve:

Simplifying
-6 + 5x = 0

Solving
-6 + 5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2
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 = {1.2, 1}