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(3x-4)(6-x)=0
We add all the numbers together, and all the variables
(3x-4)(-1x+6)=0
We multiply parentheses ..
(-3x^2+18x+4x-24)=0
We get rid of parentheses
-3x^2+18x+4x-24=0
We add all the numbers together, and all the variables
-3x^2+22x-24=0
a = -3; b = 22; c = -24;
Δ = b2-4ac
Δ = 222-4·(-3)·(-24)
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-14}{2*-3}=\frac{-36}{-6} =+6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+14}{2*-3}=\frac{-8}{-6} =1+1/3 $
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