48r^3-30r^2=0

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Solution for 48r^3-30r^2=0 equation:


Simplifying
48r3 + -30r2 = 0

Reorder the terms:
-30r2 + 48r3 = 0

Solving
-30r2 + 48r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r2'.
6r2(-5 + 8r) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}

Subproblem 2

Set the factor '(-5 + 8r)' equal to zero and attempt to solve: Simplifying -5 + 8r = 0 Solving -5 + 8r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8r = 0 + 5 8r = 0 + 5 Combine like terms: 0 + 5 = 5 8r = 5 Divide each side by '8'. r = 0.625 Simplifying r = 0.625

Solution

r = {0, 0.625}

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