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10(x/1)=7(x/4)

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Solution for 10(x/1)=7(x/4) equation:



10(x/1)=7(x/4)
We move all terms to the left:
10(x/1)-(7(x/4))=0
We add all the numbers together, and all the variables
10(+x/1)-(7(+x/4))=0
We multiply parentheses
10x-(7(+x/4))=0
We multiply all the terms by the denominator
10x*4))-(7(+x=0
We add all the numbers together, and all the variables
x+10x*4))-(7(=0
Wy multiply elements
40x^2+x=0
a = 40; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·40·0
Δ = 1
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{1}=1
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*40}=\frac{-2}{80} =-1/40
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*40}=\frac{0}{80} =0

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