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10x^2-8x=7x
We move all terms to the left:
10x^2-8x-(7x)=0
We add all the numbers together, and all the variables
10x^2-15x=0
a = 10; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·10·0
Δ = 225
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{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*10}=\frac{0}{20} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*10}=\frac{30}{20} =1+1/2 $
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