-15x=-9x^2

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Solution for -15x=-9x^2 equation:



-15x=-9x^2
We move all terms to the left:
-15x-(-9x^2)=0
We get rid of parentheses
9x^2-15x=0
a = 9; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·9·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*9}=\frac{0}{18} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*9}=\frac{30}{18} =1+2/3 $

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