-2q^3+100q^2=0

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Solution for -2q^3+100q^2=0 equation:


Simplifying
-2q3 + 100q2 = 0

Reorder the terms:
100q2 + -2q3 = 0

Solving
100q2 + -2q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q2'.
2q2(50 + -1q) = 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 '(50 + -1q)' equal to zero and attempt to solve: Simplifying 50 + -1q = 0 Solving 50 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1q = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1q = 0 + -50 -1q = 0 + -50 Combine like terms: 0 + -50 = -50 -1q = -50 Divide each side by '-1'. q = 50 Simplifying q = 50

Solution

q = {0, 50}

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