Y=10x+14x(x-7)

Solution for Y=10x+14x(x-7) equation:

=10Y+14Y(Y-7)

We move all terms to the left:

-(10Y+14Y(Y-7))=0


We calculate terms in parentheses: -(10Y+14Y(Y-7)), so:

10Y+14Y(Y-7)

We multiply parentheses

14Y^2+10Y-98Y

We add all the numbers together, and all the variables

14Y^2-88Y

Back to the equation:

-(14Y^2-88Y)


We get rid of parentheses

-14Y^2+88Y=0

a = -14; b = 88; c = 0;
Δ = b2-4ac
Δ = 882-4·(-14)·0
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-88}{2*-14}=\frac{-176}{-28}
=6+2/7
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+88}{2*-14}=\frac{0}{-28}
=0
$