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Step by step
- x^{2} - 5 x + 6 = 0
Start from the equation as given.
- a = 1,\quad b = -5,\quad c = 6
Read off the coefficients of the standard form ax² + bx + c = 0.
- \left(x - 3\right) \left(x - 2\right) = 0
Factor the quadratic into two linear factors.
- x - 3 = 0 \;\Rightarrow\; x = 3
A product is zero only when one of its factors is zero (zero-product property).
- x - 2 = 0 \;\Rightarrow\; x = 2
A product is zero only when one of its factors is zero (zero-product property).
Reveal the answer
x = 3 \quad\text{or}\quad x = 2