7x(5x+3)=-2

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Solution for 7x(5x+3)=-2 equation:



7x(5x+3)=-2
We move all terms to the left:
7x(5x+3)-(-2)=0
We add all the numbers together, and all the variables
7x(5x+3)+2=0
We multiply parentheses
35x^2+21x+2=0
a = 35; b = 21; c = +2;
Δ = b2-4ac
Δ = 212-4·35·2
Δ = 161
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{-(21)-\sqrt{161}}{2*35}=\frac{-21-\sqrt{161}}{70} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{161}}{2*35}=\frac{-21+\sqrt{161}}{70} $

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