Question 304581
Given: {{{3X*(X + 3) = 2*(5X + 1)}}}
Multiply both sides through
{{{3X^2 + 9X = 10X + 2}}} Move everything to one side
{{{3X^2 + 9X - 10X - 2 = 0}}} Simplify
{{{3X^2 - X - 2 = 0}}}
Find the factors of 2: They are only 1 and 2
(If you do not see how to unfoil the equation you could use the quadratic equation.)
Unfoil the equation.
{{{(3X + 2)*(X - 1) = 0}}}
Set each portion to 0
{{{3X + 2 = 0}}}
{{{3X = -2}}}
{{{highlight(X = -2/3)}}}
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{{{X - 1 = 0}}}
{{{highlight_green(X = 1)}}}
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Here is the quadratic equation way......
*[invoke quadratic "x", 3, -1, -2]