(5x+6)(x-1)=0

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Solution for (5x+6)(x-1)=0 equation:



(5x+6)(x-1)=0
We multiply parentheses ..
(+5x^2-5x+6x-6)=0
We get rid of parentheses
5x^2-5x+6x-6=0
We add all the numbers together, and all the variables
5x^2+x-6=0
a = 5; b = 1; c = -6;
Δ = b2-4ac
Δ = 12-4·5·(-6)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-11}{2*5}=\frac{-12}{10} =-1+1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+11}{2*5}=\frac{10}{10} =1 $

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