Question 1044112
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<pre>
{{{3x^2+5x}}} = {{{-2}}}  --->

{{{3x^2+5x+2}}} = {{{0}}}

{{{X[1,2]}}} = {{{(-5 +- sqrt(5^2 -4*3*2))/(2*3)}}} = {{{(-5 +- sqrt(1))/6}}} = {{{-5 +- 1)/6}}}.

{{{x[1]}}} = {{{-4/6}}} = {{{-2/3}}},

{{{x[2]}}} = {{{-1}}}.
</pre>

On solving quadratic equations read the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Introduction-Into-Quadratics.lesson>Introduction into Quadratic Equations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Solving-quadratic-equations-without-quadratic-formula.lesson>Solving quadratic equations without quadratic formula</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Who-is-who-in-quadratic-equations.lesson>Who is who in quadratic equations</A>

in this site.