7+17x=4(22x+2)x

Solution for 7+17x=4(22x+2)x equation:

7+17x=4(22x+2)x

We move all terms to the left:

7+17x-(4(22x+2)x)=0


We calculate terms in parentheses: -(4(22x+2)x), so:

4(22x+2)x

We multiply parentheses

88x^2+8x

Back to the equation:

-(88x^2+8x)


We get rid of parentheses

-88x^2+17x-8x+7=0

We add all the numbers together, and all the variables

-88x^2+9x+7=0

a = -88; b = 9; c = +7;
Δ = b2-4ac
Δ = 92-4·(-88)·7
Δ = 2545
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{-(9)-\sqrt{2545}}{2*-88}=\frac{-9-\sqrt{2545}}{-176}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{2545}}{2*-88}=\frac{-9+\sqrt{2545}}{-176}
$