3x*5x-4=56

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Solution for 3x*5x-4=56 equation:



3x*5x-4=56
We move all terms to the left:
3x*5x-4-(56)=0
We add all the numbers together, and all the variables
3x*5x-60=0
Wy multiply elements
15x^2-60=0
a = 15; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·15·(-60)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*15}=\frac{-60}{30} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*15}=\frac{60}{30} =2 $

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