15x2=4x+4

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Solution for 15x2=4x+4 equation:



15x^2=4x+4
We move all terms to the left:
15x^2-(4x+4)=0
We get rid of parentheses
15x^2-4x-4=0
a = 15; b = -4; c = -4;
Δ = b2-4ac
Δ = -42-4·15·(-4)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*15}=\frac{-12}{30} =-2/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*15}=\frac{20}{30} =2/3 $

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