18r=24r^2

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Solution for 18r=24r^2 equation:


Simplifying
18r = 24r2

Solving
18r = 24r2

Solving for variable 'r'.

Combine like terms: 24r2 + -24r2 = 0
18r + -24r2 = 0

Factor out the Greatest Common Factor (GCF), '6r'.
6r(3 + -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 '(3 + -4r)' equal to zero and attempt to solve: Simplifying 3 + -4r = 0 Solving 3 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 0 + -3 -4r = 0 + -3 Combine like terms: 0 + -3 = -3 -4r = -3 Divide each side by '-4'. r = 0.75 Simplifying r = 0.75

Solution

r = {0, 0.75}

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