2q^3-20q^2=0

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Solution for 2q^3-20q^2=0 equation:


Simplifying
2q3 + -20q2 = 0

Reorder the terms:
-20q2 + 2q3 = 0

Solving
-20q2 + 2q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q2'.
2q2(-10 + q) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2 = 0 Take the square root of each side: q = {0}

Subproblem 2

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

Solution

q = {0, 10}

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