12r^2-16r=0

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Solution for 12r^2-16r=0 equation:


Simplifying
12r2 + -16r = 0

Reorder the terms:
-16r + 12r2 = 0

Solving
-16r + 12r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r'.
4r(-4 + 3r) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(-4 + 3r)' equal to zero and attempt to solve: Simplifying -4 + 3r = 0 Solving -4 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3r = 0 + 4 3r = 0 + 4 Combine like terms: 0 + 4 = 4 3r = 4 Divide each side by '3'. r = 1.333333333 Simplifying r = 1.333333333

Solution

r = {0, 1.333333333}

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