-4x(7x^2-8x+8)=

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Solution for -4x(7x^2-8x+8)= equation: 


Simplifying
-4x(7x2 + -8x + 8) = 0

Reorder the terms:
-4x(8 + -8x + 7x2) = 0
(8 * -4x + -8x * -4x + 7x2 * -4x) = 0
(-32x + 32x2 + -28x3) = 0

Solving
-32x + 32x2 + -28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-8 + 8x + -7x2) = 0

Ignore the factor 4.

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 '(-8 + 8x + -7x2)' equal to zero and attempt to solve:

Simplifying
-8 + 8x + -7x2 = 0

Solving
-8 + 8x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.142857143 + -1.142857143x + x2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + -1.142857143x + -1.142857143 + x2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + -1.142857143x + x2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + -1.142857143x + x2 = 0 + -1.142857143
-1.142857143x + x2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
-1.142857143x + x2 = -1.142857143

The x term is -1.142857143x.  Take half its coefficient (-0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
-1.142857143x + 0.3265306123 + x2 = -1.142857143 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143x + x2 = -1.142857143 + 0.3265306123

Combine like terms: -1.142857143 + 0.3265306123 = -0.8163265307
0.3265306123 + -1.142857143x + x2 = -0.8163265307

Factor a perfect square on the left side:
(x + -0.5714285715)(x + -0.5714285715) = -0.8163265307

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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