2(3x^2-10x+40)=0

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Solution for 2(3x^2-10x+40)=0 equation: 


Simplifying
2(3x2 + -10x + 40) = 0

Reorder the terms:
2(40 + -10x + 3x2) = 0
(40 * 2 + -10x * 2 + 3x2 * 2) = 0
(80 + -20x + 6x2) = 0

Solving
80 + -20x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -10x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(40 + -10x + 3x2)' equal to zero and attempt to solve:

Simplifying
40 + -10x + 3x2 = 0

Solving
40 + -10x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -3.333333333x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -3.333333333x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -3.333333333x + x2 = 0 + -13.33333333
-3.333333333x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-3.333333333x + x2 = -13.33333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -13.33333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -13.33333333 + 2.777777779

Combine like terms: -13.33333333 + 2.777777779 = -10.555555551
2.777777779 + -3.333333333x + x2 = -10.555555551

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -10.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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