-2x(x^2-4)(x-7)=0

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Solution for -2x(x^2-4)(x-7)=0 equation:


Simplifying
-2x(x2 + -4)(x + -7) = 0

Reorder the terms:
-2x(-4 + x2)(x + -7) = 0

Reorder the terms:
-2x(-4 + x2)(-7 + x) = 0

Multiply (-4 + x2) * (-7 + x)
-2x(-4(-7 + x) + x2(-7 + x)) = 0
-2x((-7 * -4 + x * -4) + x2(-7 + x)) = 0
-2x((28 + -4x) + x2(-7 + x)) = 0
-2x(28 + -4x + (-7 * x2 + x * x2)) = 0
-2x(28 + -4x + (-7x2 + x3)) = 0
-2x(28 + -4x + -7x2 + x3) = 0
(28 * -2x + -4x * -2x + -7x2 * -2x + x3 * -2x) = 0
(-56x + 8x2 + 14x3 + -2x4) = 0

Solving
-56x + 8x2 + 14x3 + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-28 + 4x + 7x2 + -1x3) = 0

Ignore the factor 2.

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 '(-28 + 4x + 7x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-28 + 4x + 7x2 + -1x3 = 0

Solving
-28 + 4x + 7x2 + -1x3 = 0

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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