-10x(x+15)+3x=39

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Solution for -10x(x+15)+3x=39 equation:



-10x(x+15)+3x=39
We move all terms to the left:
-10x(x+15)+3x-(39)=0
We add all the numbers together, and all the variables
3x-10x(x+15)-39=0
We multiply parentheses
-10x^2+3x-150x-39=0
We add all the numbers together, and all the variables
-10x^2-147x-39=0
a = -10; b = -147; c = -39;
Δ = b2-4ac
Δ = -1472-4·(-10)·(-39)
Δ = 20049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-147)-\sqrt{20049}}{2*-10}=\frac{147-\sqrt{20049}}{-20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-147)+\sqrt{20049}}{2*-10}=\frac{147+\sqrt{20049}}{-20} $

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