Final answer to the problem
$x=-\frac{5}{2},\:x=\frac{2}{3}$
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Step-by-step Solution
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1
Factor the trinomial $6x^2+11x-10$ of the form $ax^2+bx+c$, first, make the product of $6$ and $-10$
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$\left(6\right)\left(-10\right)=-60$
Learn how to solve equations problems step by step online. Solve the quadratic equation 6x^2+11x+-10=0. Factor the trinomial 6x^2+11x-10 of the form ax^2+bx+c, first, make the product of 6 and -10. Now, find two numbers that multiplied give us -60 and add up to 11. Rewrite the original expression. Factor 6x^2+15x-4x-10 by the greatest common divisor 3.
Final answer to the problem
$x=-\frac{5}{2},\:x=\frac{2}{3}$
