3(2x^2+1)=11x

Solution for 3(2x^2+1)=11x equation:

Simplifying
3(2x2 + 1) = 11x

Reorder the terms:
3(1 + 2x2) = 11x
(1 * 3 + 2x2 * 3) = 11x
(3 + 6x2) = 11x

Solving
3 + 6x2 = 11x

Solving for variable 'x'.

Reorder the terms:
3 + -11x + 6x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
3 + -11x + 6x2 = 0

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

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
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 = {0.3333333333, 1.5}