Final answer to the problem
$x=-4,\:x=\frac{3}{2}$
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Step-by-step Solution
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1
Factor the trinomial $2x^2+5x-12$ of the form $ax^2+bx+c$, first, make the product of $2$ and $-12$
$\left(2\right)\left(-12\right)=-24$
Learn how to solve two-variable linear equations problems step by step online.
$\left(2\right)\left(-12\right)=-24$
Learn how to solve two-variable linear equations problems step by step online. Solve the quadratic equation 2x^2+5x+-12=0. Factor the trinomial 2x^2+5x-12 of the form ax^2+bx+c, first, make the product of 2 and -12. Now, find two numbers that multiplied give us -24 and add up to 5. Rewrite the original expression. Factor 2x^2+8x-3x-12 by the greatest common divisor 2.
Final answer to the problem
$x=-4,\:x=\frac{3}{2}$
