6z^3+10z^2=0

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Solution for 6z^3+10z^2=0 equation:


Simplifying
6z3 + 10z2 = 0

Reorder the terms:
10z2 + 6z3 = 0

Solving
10z2 + 6z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z2'.
2z2(5 + 3z) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}

Subproblem 2

Set the factor '(5 + 3z)' equal to zero and attempt to solve: Simplifying 5 + 3z = 0 Solving 5 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 0 + -5 3z = 0 + -5 Combine like terms: 0 + -5 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667

Solution

z = {0, -1.666666667}

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