0=3x^2-11x+8

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Solution for 0=3x^2-11x+8 equation: 


Simplifying
0 = 3x2 + -11x + 8

Reorder the terms:
0 = 8 + -11x + 3x2

Solving
0 = 8 + -11x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + 11x + -3x2 = 8 + -11x + 3x2 + -8 + 11x + -3x2

Reorder the terms:
-8 + 11x + -3x2 = 8 + -8 + -11x + 11x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
-8 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
-8 + 11x + -3x2 = 0 + 3x2 + -3x2
-8 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 11x + -3x2 = 0

Factor a trinomial.
(-8 + 3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 3x = 0

Solving
-8 + 3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8

Combine like terms: 0 + 8 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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 = {2.666666667, 1}

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