7x^2(4x^3-1)=

Solution for 7x^2(4x^3-1)= equation:

Simplifying
7x2(4x3 + -1) = 0

Reorder the terms:
7x2(-1 + 4x3) = 0
(-1 * 7x2 + 4x3 * 7x2) = 0
(-7x2 + 28x5) = 0

Solving
-7x2 + 28x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-1 + 4x3) = 0

Ignore the factor 7.
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 '(-1 + 4x3)' equal to zero and attempt to solve:

Simplifying
-1 + 4x3 = 0

Solving
-1 + 4x3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x3 = 0 + 1
4x3 = 0 + 1

Combine like terms: 0 + 1 = 1
4x3 = 1

Divide each side by '4'.
x3 = 0.25

Simplifying
x3 = 0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}