Question 1004746
2 x (3^2x-3) = (5^1-2x)


The rendered equation is {{{2 x (3^2x-3) = (5^1-2x)}}}.


STEPS


{{{2x*3^2x-6x=5-2x}}}
{{{18x^2-6x=5-2x}}}
{{{18x^2-6x+2x-5=0}}}
{{{18x^2-4x-5=0}}}


Using formula for general solution to a quadratic equation,
discriminant is  {{{16+4*18*5=376=4*94=2*2*2*47}}}


{{{x=(4+- sqrt(2*2*2*47))/(2*18)}}}

{{{highlight(x=(2+- sqrt(94))/18)}}}




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Notation and conventions for notation are very important.
{{{highlight(highlight(x=x))}}}