0=6x^2-33x+140

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Solution for 0=6x^2-33x+140 equation: 


Simplifying
0 = 6x2 + -33x + 140

Reorder the terms:
0 = 140 + -33x + 6x2

Solving
0 = 140 + -33x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -140 = -140
-140 + 33x + -6x2 = 140 + -33x + 6x2 + -140 + 33x + -6x2

Reorder the terms:
-140 + 33x + -6x2 = 140 + -140 + -33x + 33x + 6x2 + -6x2

Combine like terms: 140 + -140 = 0
-140 + 33x + -6x2 = 0 + -33x + 33x + 6x2 + -6x2
-140 + 33x + -6x2 = -33x + 33x + 6x2 + -6x2

Combine like terms: -33x + 33x = 0
-140 + 33x + -6x2 = 0 + 6x2 + -6x2
-140 + 33x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-140 + 33x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
23.33333333 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -5.5x + -23.33333333 + x2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -5.5x + x2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -5.5x + x2 = 0 + -23.33333333
-5.5x + x2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-5.5x + x2 = -23.33333333

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -23.33333333 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -23.33333333 + 7.5625

Combine like terms: -23.33333333 + 7.5625 = -15.77083333
7.5625 + -5.5x + x2 = -15.77083333

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -15.77083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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