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- r^{2} - 54 r = 0
Start from the equation as given.
- a = 1,\quad b = -54,\quad c = 0
Read off the coefficients of the standard form ax² + bx + c = 0.
- r \left(r - 54\right) = 0
Factor the quadratic into two linear factors.
- r = 0 \;\Rightarrow\; r = 0
A product is zero only when one of its factors is zero (zero-product property).
- r - 54 = 0 \;\Rightarrow\; r = 54
A product is zero only when one of its factors is zero (zero-product property).
Reveal the answer
r = 0 \quad\text{or}\quad r = 54