2x^2+8=11x-4

Solution for 2x^2+8=11x-4 equation:

Simplifying
2x2 + 8 = 11x + -4

Reorder the terms:
8 + 2x2 = 11x + -4

Reorder the terms:
8 + 2x2 = -4 + 11x

Solving
8 + 2x2 = -4 + 11x

Solving for variable 'x'.

Reorder the terms:
8 + 4 + -11x + 2x2 = -4 + 11x + 4 + -11x

Combine like terms: 8 + 4 = 12
12 + -11x + 2x2 = -4 + 11x + 4 + -11x

Reorder the terms:
12 + -11x + 2x2 = -4 + 4 + 11x + -11x

Combine like terms: -4 + 4 = 0
12 + -11x + 2x2 = 0 + 11x + -11x
12 + -11x + 2x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
12 + -11x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(4 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {1.5, 4}