Question 321207
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It's already solved for x.  If the left side of an equation 
is " x = " and the letter x does not appear on the right side
at all, then the equation is solved for x. 

Did you mean to say you were solving for t and not x, and
just mistyped?

If so, then to solve for t, then we get zero on one side

{{{x = 6t^2 - 24t + 24}}}

Swap sides 

{{{6t^2 - 24t + 24=x}}}

Subtract x from both sides:

{{{6t^2 - 24t + 24-x=0}}}

Put parentheses around the last two terms on the left
to show that together they can be used to substitute
for c in the quadratic formula.  This step may be
skipped:

{{{6t^2 - 24t + (24-x)=0}}}


Then we use the quadratic formula with {{{a=6}}}, {{{b=-24}}}, {{{c=(24-x)}}}

{{{t = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

{{{t = (-(-24) +- sqrt( (-24)^2-4*(6)*(24-x) ))/(2*(6)) }}}

{{{t = (24 +- sqrt(576-24(24-x) ))/12 }}}

{{{t = (24 +- sqrt(576-576+24x) )/12 }}} 

{{{t = (24 +- sqrt(24x) )/12 }}}

{{{t = (24 +- sqrt(4*6x) )/12 }}}

{{{t = (24 +- 2sqrt(6x) )/12 }}}

Factor 2 out of the top

{{{t = (2(12 +- sqrt(6x)) )/12 }}}

Cancel the 2 in the top into the 12 on the bottom
getting 6 on the bottom:

{{{t = (cross(2)(12 +- sqrt(6x)) )/(6^cross(12)) }}}

{{{t = (12 +- sqrt(6x) )/6 }}}

That's really two solutions:

1.  {{{t = (12 + sqrt(6x) )/6 }}}

2.  {{{t = (12 - sqrt(6x) )/6 }}}

Edwin</pre>