24r^2=42r

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Solution for 24r^2=42r equation:


Simplifying
24r2 = 42r

Solving
24r2 = 42r

Solving for variable 'r'.

Reorder the terms:
-42r + 24r2 = 42r + -42r

Combine like terms: 42r + -42r = 0
-42r + 24r2 = 0

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-7 + 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 '(-7 + 4r)' equal to zero and attempt to solve: Simplifying -7 + 4r = 0 Solving -7 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4r = 0 + 7 4r = 0 + 7 Combine like terms: 0 + 7 = 7 4r = 7 Divide each side by '4'. r = 1.75 Simplifying r = 1.75

Solution

r = {0, 1.75}

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