-3x^2(-4x^2+x-7)=

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Solution for -3x^2(-4x^2+x-7)= equation: 


Simplifying
-3x2(-4x2 + x + -7) = 0

Reorder the terms:
-3x2(-7 + x + -4x2) = 0
(-7 * -3x2 + x * -3x2 + -4x2 * -3x2) = 0
(21x2 + -3x3 + 12x4) = 0

Solving
21x2 + -3x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(7 + -1x + 4x2) = 0

Ignore the factor 3.

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 '(7 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x + 4x2 = 0

Solving
7 + -1x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -0.25x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -0.25x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.25x + x2 = 0 + -1.75
-0.25x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-0.25x + x2 = -1.75

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.75 + 0.015625

Combine like terms: -1.75 + 0.015625 = -1.734375
0.015625 + -0.25x + x2 = -1.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.734375

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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