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(9x-4)(4x)=
We move all terms to the left:
(9x-4)(4x)-()=0
We add all the numbers together, and all the variables
(9x-4)4x=0
We multiply parentheses
36x^2-16x=0
a = 36; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·36·0
Δ = 256
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{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*36}=\frac{0}{72} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*36}=\frac{32}{72} =4/9 $
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