8x(2-3x)=18

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Solution for 8x(2-3x)=18 equation: 


Simplifying
8x(2 + -3x) = 18
(2 * 8x + -3x * 8x) = 18
(16x + -24x2) = 18

Solving
16x + -24x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + 16x + -24x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 16x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 8x + -12x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + 8x + -12x2)' equal to zero and attempt to solve:

Simplifying
-9 + 8x + -12x2 = 0

Solving
-9 + 8x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.75 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.6666666667x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.6666666667x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.6666666667x + x2 = 0 + -0.75
-0.6666666667x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.6666666667x + x2 = -0.75

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.75 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.75 + 0.1111111112

Combine like terms: -0.75 + 0.1111111112 = -0.6388888888
0.1111111112 + -0.6666666667x + x2 = -0.6388888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.6388888888

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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