33x^2-79x+40=0

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Solution for 33x^2-79x+40=0 equation: 


Simplifying
33x2 + -79x + 40 = 0

Reorder the terms:
40 + -79x + 33x2 = 0

Solving
40 + -79x + 33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -11x)(5 + -3x) = 0


Subproblem 1
Set the factor '(8 + -11x)' equal to zero and attempt to solve:

Simplifying
8 + -11x = 0

Solving
8 + -11x = 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 + -11x = 0 + -8

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

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

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0.7272727273, 1.666666667}

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