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5x(2)=7x+2x+x
We move all terms to the left:
5x(2)-(7x+2x+x)=0
We add all the numbers together, and all the variables
5x2-(+10x)=0
We add all the numbers together, and all the variables
5x^2-(+10x)=0
We get rid of parentheses
5x^2-10x=0
a = 5; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·5·0
Δ = 100
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{100}=10$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*5}=\frac{0}{10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*5}=\frac{20}{10} =2 $
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