How do you solve $12x^2 = 5x + 2$ ?

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Answer 1 · 2016-06-24T18:26:51

$x=2/3, X=-1/4.$

$12x^2=5x+2. rArr 12x^2-5x-2=0.$

Observe that, $8xx3=24, 8-3=5.$

Spliting $5x$ as $8x-3x, 12x^2-8x+3x-2=0.$
$:. 4x(3x-2)+1(3x-2)=0,$ or, $(3x-2)(4x+1)=0.$

$:. 3x-2=0, or, 4x+1=0,$ giving, $x=2/3, X=-1/4.$

How do you solve 12x^2 = 5x + 212x^2 = 5x + 2?