7x+2-4x(1-x)=70

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Solution for 7x+2-4x(1-x)=70 equation:



7x+2-4x(1-x)=70
We move all terms to the left:
7x+2-4x(1-x)-(70)=0
We add all the numbers together, and all the variables
7x-4x(-1x+1)+2-70=0
We add all the numbers together, and all the variables
7x-4x(-1x+1)-68=0
We multiply parentheses
4x^2+7x-4x-68=0
We add all the numbers together, and all the variables
4x^2+3x-68=0
a = 4; b = 3; c = -68;
Δ = b2-4ac
Δ = 32-4·4·(-68)
Δ = 1097
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{1097}}{2*4}=\frac{-3-\sqrt{1097}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1097}}{2*4}=\frac{-3+\sqrt{1097}}{8} $

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