4r^2=22r

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Solution for 4r^2=22r equation:


Simplifying
4r2 = 22r

Solving
4r2 = 22r

Solving for variable 'r'.

Reorder the terms:
-22r + 4r2 = 22r + -22r

Combine like terms: 22r + -22r = 0
-22r + 4r2 = 0

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-11 + 2r) = 0

Ignore the factor 2.

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 '(-11 + 2r)' equal to zero and attempt to solve: Simplifying -11 + 2r = 0 Solving -11 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2r = 0 + 11 2r = 0 + 11 Combine like terms: 0 + 11 = 11 2r = 11 Divide each side by '2'. r = 5.5 Simplifying r = 5.5

Solution

r = {0, 5.5}

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