6r(4r-1)=0

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Solution for 6r(4r-1)=0 equation:


Simplifying
6r(4r + -1) = 0

Reorder the terms:
6r(-1 + 4r) = 0
(-1 * 6r + 4r * 6r) = 0
(-6r + 24r2) = 0

Solving
-6r + 24r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-1 + 4r) = 0

Ignore the factor 6.

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 '(-1 + 4r)' equal to zero and attempt to solve: Simplifying -1 + 4r = 0 Solving -1 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = 0 + 1 4r = 0 + 1 Combine like terms: 0 + 1 = 1 4r = 1 Divide each side by '4'. r = 0.25 Simplifying r = 0.25

Solution

r = {0, 0.25}

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