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(2-3x)(x+7)=0

We add all the numbers together, and all the variables

(-3x+2)(x+7)=0

We multiply parentheses ..

(-3x^2-21x+2x+14)=0

We get rid of parentheses

-3x^2-21x+2x+14=0

We add all the numbers together, and all the variables

-3x^2-19x+14=0

a = -3; b = -19; c = +14;

Δ = b^{2}-4ac

Δ = -19^{2}-4·(-3)·14

Δ = 529

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{529}=23$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-23}{2*-3}=\frac{-4}{-6} =2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+23}{2*-3}=\frac{42}{-6} =-7 $

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