Final answer to the problem
$x=1,\:x=-\frac{2}{5}$
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Step-by-step Solution
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1
Factor the trinomial $5x^2-3x-2$ of the form $ax^2+bx+c$, first, make the product of $5$ and $-2$
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$\left(5\right)\left(-2\right)=-10$
Learn how to solve equations problems step by step online. Solve the quadratic equation 5x^2-3x+-2=0. Factor the trinomial 5x^2-3x-2 of the form ax^2+bx+c, first, make the product of 5 and -2. Now, find two numbers that multiplied give us -10 and add up to -3. Rewrite the original expression. Factor 5x^2-5x+2x-2 by the greatest common divisor 5.
Final answer to the problem
$x=1,\:x=-\frac{2}{5}$
