6x(8x^2-7x+9)=

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Solution for 6x(8x^2-7x+9)= equation: 


Simplifying
6x(8x2 + -7x + 9) = 0

Reorder the terms:
6x(9 + -7x + 8x2) = 0
(9 * 6x + -7x * 6x + 8x2 * 6x) = 0
(54x + -42x2 + 48x3) = 0

Solving
54x + -42x2 + 48x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(9 + -7x + 8x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -7x + 8x2)' equal to zero and attempt to solve:

Simplifying
9 + -7x + 8x2 = 0

Solving
9 + -7x + 8x2 = 0

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

Divide each side by '8'.
1.125 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -0.875x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -0.875x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -0.875x + x2 = 0 + -1.125
-0.875x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-0.875x + x2 = -1.125

The x term is -0.875x.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875x + 0.19140625 + x2 = -1.125 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -1.125 + 0.19140625

Combine like terms: -1.125 + 0.19140625 = -0.93359375
0.19140625 + -0.875x + x2 = -0.93359375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -0.93359375

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.
Solution
x = {0}

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