Question 720929
10b exponent 2 - 15b = 8b - 12
{{{10b^2 - 15b = 8b -12}}}
{{{10b^2 - 23b = -12}}}
{{{10b^2 - 23b + 12 = 0}}}
rewrite middle term as:
{{{10b^2 - 15b-8b + 12 = 0}}}
group:
{{{(10b^2-15b) - (8b-12) = 0}}}
{{{5b(2b-3) - 4(2b-3) = 0}}}
{{{(2b-3)(5b-4) = 0}}}
setting each term on left to zero:
b = {3/2, 4/5}