Question 113450
{{{3x^2 - 18x + 24 = 18}}}
subtract 24 from both sides
{{{3x^2 - 18x = -6}}}
divide both sides by 3
{{{x^2 - 6x = -2}}}
take 1/2 of the coeffecient of x, then square it, then add it to both sides
{{{x^2 - 6x + 9 = -2 + 9}}}
{{{(x - 3)^2 = 7}}}
{{{x - 3 = 0 +-sqrt(7)}}}
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{{{x - 3 = sqrt(7)}}}
{{{x = 3 + sqrt(7)}}} answer
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{{{x - 3 = -sqrt(7)}}}
{{{x = 3 - sqrt(7)}}} answer
You can check answers by substitution into original equation