3(4x^2-10x+4)=0

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Solution for 3(4x^2-10x+4)=0 equation:



3(4x^2-10x+4)=0
We multiply parentheses
12x^2-30x+12=0
a = 12; b = -30; c = +12;
Δ = b2-4ac
Δ = -302-4·12·12
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-18}{2*12}=\frac{12}{24} =1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+18}{2*12}=\frac{48}{24} =2 $

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