Question 68550
1 Factor {{{6x^2+13x-15=0}}}
<br>
(6x - 5) (x + 3) = 0

2. Set each factor to zero
<br>
6x - 5 = 0, x + 3 = 0

3. Solve for x.
6x - 5 = 0
{{{highlight (x = 5/6)}}}

<br>x + 3 = 0
{{{highlight (x =-3)}}}

Checking:
{{{6x^2+13x-15=0}}}, {{{ x = 5/6}}}
<br>{{{6(5/6)^2+13(5/6)-15=0}}}
<br> {{{(25/6) + (65/6) - 15 = 0}}}
25 + 65 - 90 = 0
90 - 90 = 0
0 = 0 ------------>> True

<br><br>{{{6x^2+13x-15=0}}}, {{{x = -3}}}
<br>{{{6(-3)^2+13(-3)-15=0}}}
54 - 39 - 15 = 0
54 - 54 = 0
0 = 0 ----------->> True

<br> There the solution of the equation is {5/6, -3} or x = 5/6 and x = -3