r^2-11r+24r=0

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Solution for r^2-11r+24r=0 equation:


Simplifying
r2 + -11r + 24r = 0

Reorder the terms:
-11r + 24r + r2 = 0

Combine like terms: -11r + 24r = 13r
13r + r2 = 0

Solving
13r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(13 + r) = 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 '(13 + r)' equal to zero and attempt to solve: Simplifying 13 + r = 0 Solving 13 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + r = 0 + -13 r = 0 + -13 Combine like terms: 0 + -13 = -13 r = -13 Simplifying r = -13

Solution

r = {0, -13}

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