Question 101988
5x^2 + 5x – 30

Suppose that two numbers: a and b satisfy conditions as such:
{{{ a * b = 5 * -30 }}}
{{{ a + b = 5 }}}
Therefore a = 15 and b = -10.

To factorize the quadratic equation above,
{{{ ((5x + a) * (5x + b)) / 5 }}}
{{{ ((5x + 15) * (5x - 10)) / 5 }}}
{{{ (5x + 15) * (x - 2) }}}

To find the solution,
{{{ (5x + 15) * (x - 2) = 0 }}}
so either {{{ (5x + 15) = 0 }}} or {{{ (x - 2) = 0 }}}
Therefore the solutions for x is either {{{ x[1] = -3 }}} or {{{ x[2] = 2 }}}.

Cheers.