Factor the quadratic equation $5x^2 + 3x - 2 = 0$ and find its solutions.
A$x = 2/5$ and $x = -1$
B$x = -2/5$ and $x = 1$
C$x = 5$ and $x = 2$
D$x = -5$ and $x = -2$
Answer & Solution
Correct answer: A. $x = 2/5$ and $x = -1$
The expression factors as $(5x - 2)(x + 1) = 0$. Setting each factor to zero: $5x - 2 = 0$ gives $x = 2/5$, and $x + 1 = 0$ gives $x = -1$. Substituting $x = 2/5$ into $5x^2 + 3x - 2$ checks out as zero.
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