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Algebra · Quadratic-Equations

Solve 2x^2 - 3x - 2 = 0

2 x^{2} - 3 x - 2 = 0

2 x^{2} - 3 x - 2 = 0
Start from the equation as given.
a = 2,\quad b = -3,\quad c = -2
Read off the coefficients of the standard form ax² + bx + c = 0.
\left(x - 2\right) \left(2 x + 1\right) = 0
Factor the quadratic into two linear factors.
2 x + 1 = 0 \;\Rightarrow\; x = - \frac{1}{2}
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 = - \frac{1}{2} \quad\text{or}\quad x = 2