-3(x^2+-6x+40)=0

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Solution for -3(x^2+-6x+40)=0 equation: 


Simplifying
-3(x2 + -6x + 40) = 0

Reorder the terms:
-3(40 + -6x + x2) = 0
(40 * -3 + -6x * -3 + x2 * -3) = 0
(-120 + 18x + -3x2) = 0

Solving
-120 + 18x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-40 + 6x + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-40 + 6x + -1x2)' equal to zero and attempt to solve:

Simplifying
-40 + 6x + -1x2 = 0

Solving
-40 + 6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
40 + -6x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -6x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -6x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -6x + x2 = 0 + -40
-6x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-6x + x2 = -40

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -40 + 9

Reorder the terms:
9 + -6x + x2 = -40 + 9

Combine like terms: -40 + 9 = -31
9 + -6x + x2 = -31

Factor a perfect square on the left side:
(x + -3)(x + -3) = -31

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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