Final answer to the problem
$x=-3,\:x=-\frac{3}{4}$
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Step-by-step Solution
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1
Factor the trinomial $4x^2+15x+9$ of the form $ax^2+bx+c$, first, make the product of $4$ and $9$
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$\left(4\right)\left(9\right)=36$
Learn how to solve equations problems step by step online. Solve the quadratic equation 4x^2+15x+9=0. Factor the trinomial 4x^2+15x+9 of the form ax^2+bx+c, first, make the product of 4 and 9. Now, find two numbers that multiplied give us 36 and add up to 15. Rewrite the original expression. Factor 4x^2+12x+3x+9 by the greatest common divisor 4.
Final answer to the problem
$x=-3,\:x=-\frac{3}{4}$
