-2x(x-6)=20

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Solution for -2x(x-6)=20 equation: 


Simplifying
-2x(x + -6) = 20

Reorder the terms:
-2x(-6 + x) = 20
(-6 * -2x + x * -2x) = 20
(12x + -2x2) = 20

Solving
12x + -2x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 12x + -2x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 6x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + 6x + -1x2)' equal to zero and attempt to solve:

Simplifying
-10 + 6x + -1x2 = 0

Solving
-10 + 6x + -1x2 = 0

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

Divide each side by '-1'.
10 + -6x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -6x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x + x2 = 0 + -10
-6x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6x + x2 = -10

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 = -10 + 9

Reorder the terms:
9 + -6x + x2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6x + x2 = -1

Factor a perfect square on the left side:
(x + -3)(x + -3) = -1

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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