4=(3x^2)-11x

Solution for 4=(3x^2)-11x equation:

Simplifying
4 = (3x2) + -11x

Reorder the terms:
4 = -11x + (3x2)

Solving
4 = -11x + (3x2)

Solving for variable 'x'.

Reorder the terms:
4 + 11x + (-3x2) = -11x + 11x + (3x2) + (-3x2)

Combine like terms: -11x + 11x = 0
4 + 11x + (-3x2) = 0 + (3x2) + (-3x2)
4 + 11x + (-3x2) = (3x2) + (-3x2)

Combine like terms: (3x2) + (-3x2) = 0
4 + 11x + (-3x2) = 0

Factor a trinomial.
(4 + -1x)(1 + 3x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
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
Solution
x = {4, -0.3333333333}