4z^3-400z=0

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Solution for 4z^3-400z=0 equation:


Simplifying
4z3 + -400z = 0

Reorder the terms:
-400z + 4z3 = 0

Solving
-400z + 4z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(-100 + z2) = 0

Factor a difference between two squares.
4z((10 + z)(-10 + z)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(10 + z)' equal to zero and attempt to solve: Simplifying 10 + z = 0 Solving 10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + z = 0 + -10 z = 0 + -10 Combine like terms: 0 + -10 = -10 z = -10 Simplifying z = -10

Subproblem 3

Set the factor '(-10 + z)' equal to zero and attempt to solve: Simplifying -10 + z = 0 Solving -10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + z = 0 + 10 z = 0 + 10 Combine like terms: 0 + 10 = 10 z = 10 Simplifying z = 10

Solution

z = {0, -10, 10}

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