6x^2(-7x^2+7x-3)=

Solution for 6x^2(-7x^2+7x-3)= equation:

Simplifying
6x2(-7x2 + 7x + -3) = 0

Reorder the terms:
6x2(-3 + 7x + -7x2) = 0
(-3 * 6x2 + 7x * 6x2 + -7x2 * 6x2) = 0
(-18x2 + 42x3 + -42x4) = 0

Solving
-18x2 + 42x3 + -42x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-3 + 7x + -7x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-3 + 7x + -7x2)' equal to zero and attempt to solve:

Simplifying
-3 + 7x + -7x2 = 0

Solving
-3 + 7x + -7x2 = 0

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

Divide each side by '-7'.
0.4285714286 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -1x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -1x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.4285714286
-1x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-1x + x2 = -0.4285714286

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.4285714286 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.4285714286 + 0.25

Combine like terms: -0.4285714286 + 0.25 = -0.1785714286
0.25 + -1x + x2 = -0.1785714286

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.1785714286

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}