10r=r^2

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Solution for 10r=r^2 equation:


Simplifying
10r = r2

Solving
10r = r2

Solving for variable 'r'.

Combine like terms: r2 + -1r2 = 0
10r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(10 + -1r) = 0

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 '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10

Solution

r = {0, 10}

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