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(3x-6)(4x+4)=0
We multiply parentheses ..
(+12x^2+12x-24x-24)=0
We get rid of parentheses
12x^2+12x-24x-24=0
We add all the numbers together, and all the variables
12x^2-12x-24=0
a = 12; b = -12; c = -24;
Δ = b2-4ac
Δ = -122-4·12·(-24)
Δ = 1296
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{1296}=36$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-36}{2*12}=\frac{-24}{24} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+36}{2*12}=\frac{48}{24} =2 $
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