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4x/8+3x^2/8=x
We move all terms to the left:
4x/8+3x^2/8-(x)=0
We add all the numbers together, and all the variables
3x^2/8-1x+4x/8=0
We multiply all the terms by the denominator
3x^2-1x*8+4x=0
We add all the numbers together, and all the variables
3x^2+4x-1x*8=0
Wy multiply elements
3x^2+4x-8x=0
We add all the numbers together, and all the variables
3x^2-4x=0
a = 3; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·3·0
Δ = 16
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{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*3}=\frac{0}{6} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*3}=\frac{8}{6} =1+1/3 $
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