7x(5x^2-8x+8)=

Solution for 7x(5x^2-8x+8)= equation:

Simplifying
7x(5x2 + -8x + 8) = 0

Reorder the terms:
7x(8 + -8x + 5x2) = 0
(8 * 7x + -8x * 7x + 5x2 * 7x) = 0
(56x + -56x2 + 35x3) = 0

Solving
56x + -56x2 + 35x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(8 + -8x + 5x2) = 0

Ignore the factor 7.
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 + 5x2)' equal to zero and attempt to solve:

Simplifying
8 + -8x + 5x2 = 0

Solving
8 + -8x + 5x2 = 0

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

Divide each side by '5'.
1.6 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1.6x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1.6x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1.6x + x2 = 0 + -1.6
-1.6x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1.6x + x2 = -1.6

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -1.6 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -1.6 + 0.64

Combine like terms: -1.6 + 0.64 = -0.96
0.64 + -1.6x + x2 = -0.96

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.96

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}