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Sole the equation 2x(2x-1)=x to the power of two plus 3x+2

Sole the equation 2x(2x-1)=x to the power of two plus 3x+2
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Sole the equation 2x(2x-1)=x to the power of two plus 3x+2

User Ali Asgari
by
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1 Answer

6 votes
2x(2x - 1) = x^2 + 3x + 2
4x^2 - 2x = x^2 + 3x + 2
4x^2 - x^2 - 2x - 3x - 2 = 0
3x^2 - 5x - 2 = 0
(3x + 1)(x - 2) = 0

3x + 1 = 0
3x = -1
x = -1/3

x - 2 = 0
x = 2

so x = -1/3 or x = 2
User Martin Spacek
by
8.3k points
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