9x(4x-8)=-38

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Solution for 9x(4x-8)=-38 equation: 


Simplifying
9x(4x + -8) = -38

Reorder the terms:
9x(-8 + 4x) = -38
(-8 * 9x + 4x * 9x) = -38
(-72x + 36x2) = -38

Solving
-72x + 36x2 = -38

Solving for variable 'x'.

Reorder the terms:
38 + -72x + 36x2 = -38 + 38

Combine like terms: -38 + 38 = 0
38 + -72x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(19 + -36x + 18x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(19 + -36x + 18x2)' equal to zero and attempt to solve:

Simplifying
19 + -36x + 18x2 = 0

Solving
19 + -36x + 18x2 = 0

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

Divide each side by '18'.
1.055555556 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.055555556' to each side of the equation.
1.055555556 + -2x + -1.055555556 + x2 = 0 + -1.055555556

Reorder the terms:
1.055555556 + -1.055555556 + -2x + x2 = 0 + -1.055555556

Combine like terms: 1.055555556 + -1.055555556 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.055555556
-2x + x2 = 0 + -1.055555556

Combine like terms: 0 + -1.055555556 = -1.055555556
-2x + x2 = -1.055555556

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.055555556 + 1

Reorder the terms:
1 + -2x + x2 = -1.055555556 + 1

Combine like terms: -1.055555556 + 1 = -0.055555556
1 + -2x + x2 = -0.055555556

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.055555556

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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