6q^5-15q^2=0

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Solution for 6q^5-15q^2=0 equation:


Simplifying
6q5 + -15q2 = 0

Reorder the terms:
-15q2 + 6q5 = 0

Solving
-15q2 + 6q5 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '3q2'.
3q2(-5 + 2q3) = 0

Ignore the factor 3.

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 '(-5 + 2q3)' equal to zero and attempt to solve: Simplifying -5 + 2q3 = 0 Solving -5 + 2q3 = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2q3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2q3 = 0 + 5 2q3 = 0 + 5 Combine like terms: 0 + 5 = 5 2q3 = 5 Divide each side by '2'. q3 = 2.5 Simplifying q3 = 2.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

q = {0}

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