Question

$4 {x}^{2} + 7x + 3 = 2 {x}^{2} + 2x$
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Answer 1

Olá, bom dia!

$4x^2+7x+3=2x^2+2x\\4x^2-2x^2+7x-2x+3=0\\2x^2+5x+3=0\\\\Coeficientes:\;a=2,\;b=5\;e\;c=3\\\\\Delta=b^2-4ac\\\Delta=5^2-4\cdot2\cdot3\\\Delta=25-24\\\Delta=1\\\\x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\dfrac{-5\pm\sqrt{1}}{2\cdot2}\\\\x=\dfrac{-5\pm1}{4}\\\\x_1=\dfrac{-5+1}{4}=\dfrac{-4}{4}=-1\\\\x_2=\dfrac{-5-1}{4}=\dfrac{-6}{4}=-\dfrac{3}{2}=-1,5$



Espero ter ajudado.
Bons estudos! :)